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100212220212102 = 23234753932975009
BaseRepresentation
bin10110110010010001111001…
…110010011011001110000110
3111010211012020221002022100100
4112302101321302123032012
5101113334111333241402
6553044505230224530
730052044144161625
oct2662217162331606
9433735227068310
10100212220212102
1129a26844867619
12b2a5971955146
1343bbc8310ca4b
141aa6423c756bc
15b8bb3a9b271c
hex5b2479c9b386

100212220212102 has 48 divisors (see below), whose sum is σ = 217792651873680. Its totient is φ = 33301620750336.

The previous prime is 100212220212079. The next prime is 100212220212119. The reversal of 100212220212102 is 201212022212001.

It is a happy number.

100212220212102 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 220 + 21 + 210 + 2 = 666.

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

It is a congruent number.

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, 32197174 + ... + 35172182.

It is an arithmetic number, because the mean of its divisors is an integer number (4537346914035).

Almost surely, 2100212220212102 is an apocalyptic number.

100212220212102 is an abundant number, since it is smaller than the sum of its proper divisors (117580431661578).

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

100212220212102 is a wasteful number, since it uses less digits than its factorization.

100212220212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980757 (or 2980754 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212220212102 its reverse (201212022212001), we get a palindrome (301424242424103).

The spelling of 100212220212102 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 347 694 1041 2082 3123 5393 6246 10786 16179 32358 48537 97074 1871371 2975009 3742742 5614113 5950018 8925027 11228226 16842339 17850054 26775081 33684678 53550162 1032328123 2064656246 3096984369 6193968738 9290953107 16044223537 18581906214 32088447074 48132670611 96265341222 144398011833 288796023666 5567345567339 11134691134678 16702036702017 33404073404034 50106110106051 100212220212102