101132240100 has 144 divisors (see below), whose sum is σ = 310600495296. Its totient is φ = 25318400000.

The previous prime is 101132240087. The next prime is 101132240107. The reversal of 101132240100 is 1042231101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101132240100.

It is not an unprimeable number, because it can be changed into a prime (101132240107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020375 + ... + 2069825.

It is an arithmetic number, because the mean of its divisors is an integer number (2156947884).

Almost surely, 2^101132240100 is an apocalyptic number.

101132240100 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 101132240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155300247648).

101132240100 is an abundant number, since it is smaller than the sum of its proper divisors (209468255196).

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

101132240100 is a wasteful number, since it uses less digits than its factorization.

101132240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49886 (or 49879 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101132240100 its reverse (1042231101), we get a palindrome (102174471201).

The spelling of 101132240100 in words is "one hundred one billion, one hundred thirty-two million, two hundred forty thousand, one hundred".