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202102022122100 = 225210267571968353
BaseRepresentation
bin101101111100111110001011…
…001111001010101001110100
3222111120202122102002200211022
4231330332023033022221310
5202442214420130401400
61553500215350400312
760366250340461022
oct5574761317125164
9874522572080738
10202102022122100
1159439a93776521
121a800886360098
1388a01a6254329
1437c9b0bd0b712
15185720da88b85
hexb7cf8b3caa74

202102022122100 has 36 divisors (see below), whose sum is σ = 438562037944044. Its totient is φ = 80840689044480.

The previous prime is 202102022122087. The next prime is 202102022122141. The reversal of 202102022122100 is 1221220201202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46540611796624 + 155561410325476 = 6822068^2 + 12472426^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101691524 + ... + 103659876.

It is an arithmetic number, because the mean of its divisors is an integer number (12182278831779).

Almost surely, 2202102022122100 is an apocalyptic number.

202102022122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102022122100 is an abundant number, since it is smaller than the sum of its proper divisors (236460015821944).

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

202102022122100 is a wasteful number, since it uses less digits than its factorization.

202102022122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995124 (or 2995117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202102022122100 its reverse (1221220201202), we get a palindrome (203323242323302).

The spelling of 202102022122100 in words is "two hundred two trillion, one hundred two billion, twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1026757 1968353 2053514 3936706 4107028 5133785 7873412 9841765 10267570 19683530 20535140 25668925 39367060 49208825 51337850 98417650 102675700 196835300 2021020221221 4042040442442 8084080884884 10105101106105 20210202212210 40420404424420 50525505530525 101051011061050 202102022122100