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101021022121100 = 22529747389219767
BaseRepresentation
bin10110111110000011001010…
…001000110110110010001100
3111020200111220201120100120112
4112332003022020312302030
5101220112023130333400
6554504230014135152
730164346050031134
oct2676031210666214
9436614821510515
10101021022121100
112a208858413874
12b3b6673ab14b8
13444a31a7a02a3
141ad362d1a9ac4
15ba2bc68a2835
hex5be0ca236c8c

101021022121100 has 72 divisors (see below), whose sum is σ = 221481254188320. Its totient is φ = 39990801438720.

The previous prime is 101021022121091. The next prime is 101021022121207. The reversal of 101021022121100 is 1121220120101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459563417 + ... + 459783183.

Almost surely, 2101021022121100 is an apocalyptic number.

101021022121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021022121100 is an abundant number, since it is smaller than the sum of its proper divisors (120460232067220).

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

101021022121100 is a wasteful number, since it uses less digits than its factorization.

101021022121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267267 (or 267260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101021022121100 its reverse (1121220120101), we get a palindrome (102142242241201).

The spelling of 101021022121100 in words is "one hundred one trillion, twenty-one billion, twenty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 47389 94778 189556 219767 236945 439534 473890 879068 947780 1098835 1184725 2197670 2369450 4395340 4596733 4738900 5494175 9193466 10988350 18386932 21317399 21976700 22983665 42634798 45967330 85269596 91934660 106586995 114918325 213173990 229836650 426347980 459673300 532934975 1065869950 2131739900 10414538363 20829076726 41658153452 52072691815 104145383630 208290767260 260363459075 520726918150 1010210221211 1041453836300 2020420442422 4040840884844 5051051106055 10102102212110 20204204424220 25255255530275 50510511060550 101021022121100