102010102100 has 18 divisors (see below), whose sum is σ = 221361921774. Its totient is φ = 40804040800.

The previous prime is 102010102093. The next prime is 102010102121. The reversal of 102010102100 is 1201010201.

It can be written as a sum of positive squares in 3 ways, for example, as 1493204164 + 100516897936 = 38642^2 + 317044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510050411 + ... + 510050610.

It is an arithmetic number, because the mean of its divisors is an integer number (12297884543).

Almost surely, 2^102010102100 is an apocalyptic number.

102010102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010102100 is an abundant number, since it is smaller than the sum of its proper divisors (119351819674).

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

102010102100 is a wasteful number, since it uses less digits than its factorization.

102010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020101035 (or 1020101028 counting only the distinct ones).

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

Adding to 102010102100 its reverse (1201010201), we get a palindrome (103211112301).

The spelling of 102010102100 in words is "one hundred two billion, ten million, one hundred two thousand, one hundred".