101132112100 has 36 divisors (see below), whose sum is σ = 219610139364. Its totient is φ = 40424558080.

The previous prime is 101132112047. The next prime is 101132112113. The reversal of 101132112100 is 1211231101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7089303204 + 94042808896 = 84198^2 + 306664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209569 + ... + 496168.

It is an arithmetic number, because the mean of its divisors is an integer number (6100281649).

Almost surely, 2^101132112100 is an apocalyptic number.

101132112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132112100 is an abundant number, since it is smaller than the sum of its proper divisors (118478027264).

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

101132112100 is a wasteful number, since it uses less digits than its factorization.

101132112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707184 (or 707177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101132112100 its reverse (1211231101), we get a palindrome (102343343201).

The spelling of 101132112100 in words is "one hundred one billion, one hundred thirty-two million, one hundred twelve thousand, one hundred".