102010133320100 has 36 divisors (see below), whose sum is σ = 221903216751300. Its totient is φ = 40704287900160.

The previous prime is 102010133320093. The next prime is 102010133320141. The reversal of 102010133320100 is 1023331010201.

It can be written as a sum of positive squares in 6 ways, for example, as 338686753024 + 101671446567076 = 581968^2 + 10083226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1247026745 + ... + 1247108544.

Almost surely, 2^{102010133320100} is an apocalyptic number.

102010133320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010133320100 is an abundant number, since it is smaller than the sum of its proper divisors (119893083431200).

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

102010133320100 is a wasteful number, since it uses less digits than its factorization.

102010133320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494135712 (or 2494135705 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102010133320100 its reverse (1023331010201), we get a palindrome (103033464330301).

The spelling of 102010133320100 in words is "one hundred two trillion, ten billion, one hundred thirty-three million, three hundred twenty thousand, one hundred".