100010432313200 has 120 divisors (see below), whose sum is σ = 244147201006128. Its totient is φ = 39360888483840.

The previous prime is 100010432313173. The next prime is 100010432313293. The reversal of 100010432313200 is 2313234010001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20672984 + ... + 25047816.

Almost surely, 2^{100010432313200} is an apocalyptic number.

100010432313200 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 100010432313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122073600503064).

100010432313200 is an abundant number, since it is smaller than the sum of its proper divisors (144136768692928).

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

100010432313200 is a wasteful number, since it uses less digits than its factorization.

100010432313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375771 (or 4375760 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100010432313200 its reverse (2313234010001), we get a palindrome (102323666323201).

The spelling of 100010432313200 in words is "one hundred trillion, ten billion, four hundred thirty-two million, three hundred thirteen thousand, two hundred".