101132000100 has 324 divisors, whose sum is σ = 330233030400. Its totient is φ = 25882571520.

The previous prime is 101132000087. The next prime is 101132000129. The reversal of 101132000100 is 1000231101.

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 107 ways as a sum of consecutive naturals, for example, 97335381 + ... + 97336419.

Almost surely, 2^101132000100 is an apocalyptic number.

101132000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165116515200).

101132000100 is an abundant number, since it is smaller than the sum of its proper divisors (229101030300).

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

101132000100 is a wasteful number, since it uses less digits than its factorization.

101132000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1165 counting only the distinct ones).

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

Adding to 101132000100 its reverse (1000231101), we get a palindrome (102132231201).

The spelling of 101132000100 in words is "one hundred one billion, one hundred thirty-two million, one hundred", and thus it is an aban number.