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101200111021100 = 225271373152340977
BaseRepresentation
bin10111000000101001111100…
…101010110010110000101100
3111021022122011201221002120202
4113000221330222302300230
5101231030311410133400
6555122404510533032
730213316043412050
oct2700517452626054
9437278151832522
10101200111021100
112a2777a9432043
12b425314507178
13446118b7329c0
141adc17bd99c60
15ba76a90da4d5
hex5c0a7cab2c2c

101200111021100 has 144 divisors (see below), whose sum is σ = 273984639569088. Its totient is φ = 31589424783360.

The previous prime is 101200111021073. The next prime is 101200111021127. The reversal of 101200111021100 is 1120111002101.

It is an interprime number because it is at equal distance from previous prime (101200111021073) and next prime (101200111021127).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75506189 + ... + 76834788.

Almost surely, 2101200111021100 is an apocalyptic number.

101200111021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200111021100 is an abundant number, since it is smaller than the sum of its proper divisors (172784528547988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101200111021100 is a wasteful number, since it uses less digits than its factorization.

101200111021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152341084 (or 152341077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101200111021100 its reverse (1120111002101), we get a palindrome (102320222023201).

The spelling of 101200111021100 in words is "one hundred one trillion, two hundred billion, one hundred eleven million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 73 91 100 130 140 146 175 182 260 292 325 350 364 365 455 511 650 700 730 910 949 1022 1300 1460 1820 1825 1898 2044 2275 2555 3650 3796 4550 4745 5110 6643 7300 9100 9490 10220 12775 13286 18980 23725 25550 26572 33215 47450 51100 66430 94900 132860 166075 332150 664300 152340977 304681954 609363908 761704885 1066386839 1523409770 1980432701 2132773678 3046819540 3808524425 3960865402 4265547356 5331934195 7617048850 7921730804 9902163505 10663868390 11120891321 13863028907 15234097700 19804327010 21327736780 22241782642 26659670975 27726057814 39608654020 44483565284 49510817525 53319341950 55452115628 55604456605 69315144535 77846239247 99021635050 106638683900 111208913210 138630289070 144571587173 155692478494 198043270100 222417826420 277260578140 278022283025 289143174346 311384956988 346575722675 389231196235 556044566050 578286348692 693151445350 722857935865 778462392470 1012001110211 1112089132100 1386302890700 1445715871730 1556924784940 1946155981175 2024002220422 2891431743460 3614289679325 3892311962350 4048004440844 5060005551055 7228579358650 7784623924700 10120011102110 14457158717300 20240022204220 25300027755275 50600055510550 101200111021100