10100014013232 has 540 divisors, whose sum is σ = 33690009920112. Its totient is φ = 2821235788800.

The previous prime is 10100014013231. The next prime is 10100014013291. The reversal of 10100014013232 is 23231041000101.

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 (10100014013231) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2582461357 + ... + 2582465267.

Almost surely, 2^{10100014013232} is an apocalyptic number.

10100014013232 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 10100014013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16845004960056).

10100014013232 is an abundant number, since it is smaller than the sum of its proper divisors (23589995906880).

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

10100014013232 is a wasteful number, since it uses less digits than its factorization.

10100014013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10100014013232 its reverse (23231041000101), we get a palindrome (33331055013333).

The spelling of 10100014013232 in words is "ten trillion, one hundred billion, fourteen million, thirteen thousand, two hundred thirty-two".