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100102200021200 = 24521319250423081
BaseRepresentation
bin10110110000101011011100…
…000100101101000011010000
3111010102200021102200112021002
4112300223130010231003100
5101110033301201134300
6552522152115521132
730041100556035566
oct2660533404550320
9433380242615232
10100102200021200
1129994117286813
12b2885882b91a8
1343b179b693880
141aa0d88117a36
15b88d4bc2c5d5
hex5b0adc12d0d0

100102200021200 has 60 divisors (see below), whose sum is σ = 258995192145228. Its totient is φ = 36960812313600.

The previous prime is 100102200021191. The next prime is 100102200021217. The reversal of 100102200021200 is 2120002201001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31258207537216 + 68843992483984 = 5590904^2 + 8297228^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9625206341 + ... + 9625216740.

Almost surely, 2100102200021200 is an apocalyptic number.

100102200021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102200021200 is an abundant number, since it is smaller than the sum of its proper divisors (158892992124028).

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

100102200021200 is a wasteful number, since it uses less digits than its factorization.

100102200021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19250423112 (or 19250423101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100102200021200 its reverse (2120002201001), we get a palindrome (102222202222201).

The spelling of 100102200021200 in words is "one hundred trillion, one hundred two billion, two hundred million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 19250423081 38500846162 77001692324 96252115405 154003384648 192504230810 250255500053 308006769296 385008461620 481260577025 500511000106 770016923240 962521154050 1001022000212 1251277500265 1540033846480 1925042308100 2002044000424 2502555000530 3850084616200 4004088000848 5005110001060 6256387501325 7700169232400 10010220002120 12512775002650 20020440004240 25025550005300 50051100010600 100102200021200