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101010121222122 = 23277313780158747
BaseRepresentation
bin10110111101111001000000…
…011001001110011111101010
3111020122110210000121022101100
4112331321000121032133222
5101214422212013101442
6554455224210102230
730163511652644430
oct2675710031163752
9436573700538340
10101010121222122
112a204174113052
12b3b453127a976
1344492a12631c8
141ad2cb7534d50
15ba278988b84c
hex5bde4064e7ea

101010121222122 has 96 divisors (see below), whose sum is σ = 255397313987712. Its totient is φ = 28256919869952.

The previous prime is 101010121222093. The next prime is 101010121222133. The reversal of 101010121222122 is 221222121010101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101010121222095 and 101010121222104.

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, 38819248 + ... + 41339499.

It is an arithmetic number, because the mean of its divisors is an integer number (2660388687372).

Almost surely, 2101010121222122 is an apocalyptic number.

101010121222122 is an abundant number, since it is smaller than the sum of its proper divisors (154387192765590).

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

101010121222122 is a wasteful number, since it uses less digits than its factorization.

101010121222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80158972 (or 80158969 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101010121222122 its reverse (221222121010101), we get a palindrome (322232242232223).

The spelling of 101010121222122 in words is "one hundred one trillion, ten billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 137 146 219 274 411 438 511 657 822 959 1022 1233 1314 1533 1918 2466 2877 3066 4599 5754 8631 9198 10001 17262 20002 30003 60006 70007 90009 140014 180018 210021 420042 630063 1260126 80158747 160317494 240476241 480952482 561111229 721428723 1122222458 1442857446 1683333687 3366667374 5050001061 5851588531 10100002122 10981748339 11703177062 17554765593 21963496678 32945245017 35109531186 40961119717 52664296779 65890490034 76872238373 81922239434 98835735051 105328593558 122883359151 153744476746 197671470102 230616715119 245766718302 368650077453 461233430238 691850145357 737300154906 801667628747 1383700290714 1603335257494 2405002886241 4810005772482 5611673401229 7215008658723 11223346802458 14430017317446 16835020203687 33670040407374 50505060611061 101010121222122