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100121202122202 = 23297487711757881
BaseRepresentation
bin10110110000111101001000…
…101011111101110111011010
3111010111111022201111021102200
4112300331020223331313122
5101110341210220402302
6552535013440511030
730042342503162142
oct2660751053756732
9433444281437380
10100121202122202
11299a1188497518
12b2901b001b476
1343b35093b8711
141aa1c6ba7b922
15b895b007e81c
hex5b0f48afddda

100121202122202 has 48 divisors (see below), whose sum is σ = 219210612769512. Its totient is φ = 33022899578880.

The previous prime is 100121202122129. The next prime is 100121202122297. The reversal of 100121202122202 is 202221202121001.

It is a happy number.

100121202122202 is a `hidden beast` number, since 100 + 12 + 120 + 212 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81792109122201 + 18329093000001 = 9043899^2 + 4281249^2 .

It is a super-2 number, since 2×1001212021222022 (a number of 29 digits) contains 22 as substring.

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

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, 2636302 + ... + 14394182.

Almost surely, 2100121202122202 is an apocalyptic number.

100121202122202 is an abundant number, since it is smaller than the sum of its proper divisors (119089410647310).

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

100121202122202 is a wasteful number, since it uses less digits than its factorization.

100121202122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762863 (or 11762860 counting only the distinct ones).

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

Adding to 100121202122202 its reverse (202221202121001), we get a palindrome (302342404243203).

The spelling of 100121202122202 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 4877 9754 14631 29262 43893 87786 473069 946138 1419207 2838414 4257621 8515242 11757881 23515762 35273643 70547286 105820929 211641858 1140514457 2281028914 3421543371 6843086742 10264630113 20529260226 57343185637 114686371274 172029556911 344059113822 516088670733 1032177341466 5562289006789 11124578013578 16686867020367 33373734040734 50060601061101 100121202122202