10010132100 has 108 divisors (see below), whose sum is σ = 33221912724. Its totient is φ = 2512343040.

The previous prime is 10010132023. The next prime is 10010132129. The reversal of 10010132100 is 123101001.

It can be written as a sum of positive squares in 6 ways, for example, as 223382916 + 9786749184 = 14946^2 + 98928^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311829 + ... + 342428.

It is an arithmetic number, because the mean of its divisors is an integer number (307610303).

Almost surely, 2^10010132100 is an apocalyptic number.

10010132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010132100 is an abundant number, since it is smaller than the sum of its proper divisors (23211780624).

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

10010132100 is a wasteful number, since it uses less digits than its factorization.

10010132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654294 (or 654284 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10010132100 its reverse (123101001), we get a palindrome (10133233101).

The spelling of 10010132100 in words is "ten billion, ten million, one hundred thirty-two thousand, one hundred".