100101032172 has 72 divisors (see below), whose sum is σ = 262566793216. Its totient is φ = 33346407888.

The previous prime is 100101032099. The next prime is 100101032173. The reversal of 100101032172 is 271230101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100101032173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585473 + ... + 1647399.

Almost surely, 2^100101032172 is an apocalyptic number.

100101032172 is a gapful number since it is divisible by the number (12) 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 100101032172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131283396608).

100101032172 is an abundant number, since it is smaller than the sum of its proper divisors (162465761044).

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

100101032172 is a wasteful number, since it uses less digits than its factorization.

100101032172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63609 (or 63595 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 100101032172 its reverse (271230101001), we get a palindrome (371331133173).

The spelling of 100101032172 in words is "one hundred billion, one hundred one million, thirty-two thousand, one hundred seventy-two".