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100021112010222 = 23137128376366187
BaseRepresentation
bin10110101111011111111010…
…110110011111010111101110
3111010010220222021021202210020
4112233133322312133113232
5101102221214133311342
6552421021534223010
730032200253233404
oct2657377266372756
9433126867252706
10100021112010222
1129962796203a07
12b274918054a66
1343a6c480180a0
141a9b094a81474
15b86ba2e950ec
hex5af7fad9f5ee

100021112010222 has 64 divisors (see below), whose sum is σ = 218541353716224. Its totient is φ = 30331565873280.

The previous prime is 100021112010167. The next prime is 100021112010241. The reversal of 100021112010222 is 222010211120001.

It is a super-2 number, since 2×1000211120102222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12528213 + ... + 18894399.

It is an arithmetic number, because the mean of its divisors is an integer number (3414708651816).

Almost surely, 2100021112010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021112010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109270676858112).

100021112010222 is an abundant number, since it is smaller than the sum of its proper divisors (118520241706002).

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

100021112010222 is a wasteful number, since it uses less digits than its factorization.

100021112010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369113.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100021112010222 its reverse (222010211120001), we get a palindrome (322031323130223).

The spelling of 100021112010222 in words is "one hundred trillion, twenty-one billion, one hundred twelve million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1846 2769 2837 5538 5674 8511 17022 36881 73762 110643 201427 221286 402854 604281 1208562 2618551 5237102 6366187 7855653 12732374 15711306 19098561 38197122 82760431 165520862 248281293 451999277 496562586 903998554 1355997831 2711995662 5875990601 11751981202 17627971803 18060872519 35255943606 36121745038 54182617557 108365235114 234791342747 469582685494 704374028241 1282321948849 1408748056482 2564643897698 3846965846547 7693931693094 16670185335037 33340370670074 50010556005111 100021112010222