101132010100 has 36 divisors (see below), whose sum is σ = 239407051968. Its totient is φ = 36775276000.

The previous prime is 101132010059. The next prime is 101132010151. The reversal of 101132010100 is 1010231101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45967996 + ... + 45970195.

It is an arithmetic number, because the mean of its divisors is an integer number (6650195888).

Almost surely, 2^101132010100 is an apocalyptic number.

101132010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132010100 is an abundant number, since it is smaller than the sum of its proper divisors (138275041868).

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

101132010100 is a wasteful number, since it uses less digits than its factorization.

101132010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91938216 (or 91938209 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101132010100 its reverse (1010231101), we get a palindrome (102142241201).

The spelling of 101132010100 in words is "one hundred one billion, one hundred thirty-two million, ten thousand, one hundred".