210200101020100 has 72 divisors (see below), whose sum is σ = 462943808199936. Its totient is φ = 82826788800000.

The previous prime is 210200101020067. The next prime is 210200101020101. The reversal of 210200101020100 is 1020101002012.

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

It is not an unprimeable number, because it can be changed into a prime (210200101020101) 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 23 ways as a sum of consecutive naturals, for example, 3798316 + ... + 20852515.

It is an arithmetic number, because the mean of its divisors is an integer number (6429775113888).

Almost surely, 2^{210200101020100} is an apocalyptic number.

210200101020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200101020100 is an abundant number, since it is smaller than the sum of its proper divisors (252743707179836).

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

210200101020100 is a wasteful number, since it uses less digits than its factorization.

210200101020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24652117 (or 24652110 counting only the distinct ones).

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

Adding to 210200101020100 its reverse (1020101002012), we get a palindrome (211220202022112).

The spelling of 210200101020100 in words is "two hundred ten trillion, two hundred billion, one hundred one million, twenty thousand, one hundred".