102010210100 has 72 divisors (see below), whose sum is σ = 222139532160. Its totient is φ = 40661086720.

The previous prime is 102010210097. The next prime is 102010210111. The reversal of 102010210100 is 1012010201.

It is a super-2 number, since 2×102010210100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42204092 + ... + 42206508.

It is an arithmetic number, because the mean of its divisors is an integer number (3085271280).

Almost surely, 2^102010210100 is an apocalyptic number.

102010210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010210100 is an abundant number, since it is smaller than the sum of its proper divisors (120129322060).

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

102010210100 is a wasteful number, since it uses less digits than its factorization.

102010210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010210100 its reverse (1012010201), we get a palindrome (103022220301).

The spelling of 102010210100 in words is "one hundred two billion, ten million, two hundred ten thousand, one hundred".