202001100110100 has 270 divisors, whose sum is σ = 691085212086654. Its totient is φ = 51031856131200.

The previous prime is 202001100110059. The next prime is 202001100110137. The reversal of 202001100110100 is 1011001100202.

It is a happy number.

202001100110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1665044413956 + 200336055696144 = 1290366^2 + 14154012^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 31616631 + ... + 37464830.

Almost surely, 2^{202001100110100} is an apocalyptic number.

202001100110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001100110100 is an abundant number, since it is smaller than the sum of its proper divisors (489084111976554).

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

202001100110100 is a wasteful number, since it uses less digits than its factorization.

202001100110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69081525 (or 69081490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 202001100110100 its reverse (1011001100202), we get a palindrome (203012101210302).

The spelling of 202001100110100 in words is "two hundred two trillion, one billion, one hundred million, one hundred ten thousand, one hundred".