202020110010100 has 72 divisors (see below), whose sum is σ = 439153688411928. Its totient is φ = 80666124288000.

The previous prime is 202020110009969. The next prime is 202020110010109. The reversal of 202020110010100 is 1010011020202.

It can be written as a sum of positive squares in 12 ways, for example, as 138253432966884 + 63766677043216 = 11758122^2 + 7985404^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202020110010109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673751412 + ... + 674051188.

It is an arithmetic number, because the mean of its divisors is an integer number (6099356783499).

Almost surely, 2^{202020110010100} is an apocalyptic number.

202020110010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020110010100 is an abundant number, since it is smaller than the sum of its proper divisors (237133578401828).

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

202020110010100 is a wasteful number, since it uses less digits than its factorization.

202020110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311605 (or 311598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202020110010100 its reverse (1010011020202), we get a palindrome (203030121030302).

The spelling of 202020110010100 in words is "two hundred two trillion, twenty billion, one hundred ten million, ten thousand, one hundred".