102110001012100 has 72 divisors (see below), whose sum is σ = 222139943635400. Its totient is φ = 40740576307200.

The previous prime is 102110001012091. The next prime is 102110001012137. The reversal of 102110001012100 is 1210100011201.

It can be written as a sum of positive squares in 12 ways, for example, as 90435383101504 + 11674617910596 = 9509752^2 + 3416814^2 .

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

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, 272157436 + ... + 272532364.

Almost surely, 2^{102110001012100} is an apocalyptic number.

102110001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110001012100 is an abundant number, since it is smaller than the sum of its proper divisors (120029942623300).

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

102110001012100 is a wasteful number, since it uses less digits than its factorization.

102110001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381833 (or 381826 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102110001012100 its reverse (1210100011201), we get a palindrome (103320101023301).

The spelling of 102110001012100 in words is "one hundred two trillion, one hundred ten billion, one million, twelve thousand, one hundred".