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210021202200100 = 22522100212022001
BaseRepresentation
bin101111110000001101011111…
…001001110000011000100100
31000112121211102200112200011011
4233300031133021300120210
5210011441410230400400
62022402224111152004
762144350114466434
oct5760153711603044
91015554380480134
10210021202200100
1160a12545445095
121b67b623815604
139025bb6ba6a25
1439c111a97c2c4
1519432005708ba
hexbf035f270624

210021202200100 has 18 divisors (see below), whose sum is σ = 455746008774434. Its totient is φ = 84008480880000.

The previous prime is 210021202200071. The next prime is 210021202200101. The reversal of 210021202200100 is 1002202120012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3552983724096 + 206468218476004 = 1884936^2 + 14369002^2 .

It is not an unprimeable number, because it can be changed into a prime (210021202200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050106010901 + ... + 1050106011100.

Almost surely, 2210021202200100 is an apocalyptic number.

210021202200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021202200100 is an abundant number, since it is smaller than the sum of its proper divisors (245724806574334).

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

210021202200100 is a wasteful number, since it uses less digits than its factorization.

210021202200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100212022015 (or 2100212022008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210021202200100 its reverse (1002202120012), we get a palindrome (211023404320112).

The spelling of 210021202200100 in words is "two hundred ten trillion, twenty-one billion, two hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2100212022001 4200424044002 8400848088004 10501060110005 21002120220010 42004240440020 52505300550025 105010601100050 210021202200100