100010011200 has 672 divisors, whose sum is σ = 380159239680. Its totient is φ = 22763520000.

The previous prime is 100010011187. The next prime is 100010011207. The reversal of 100010011200 is 2110010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100010011207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131418820 + ... + 131419580.

Almost surely, 2^100010011200 is an apocalyptic number.

100010011200 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 100010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190079619840).

100010011200 is an abundant number, since it is smaller than the sum of its proper divisors (280149228480).

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

100010011200 is a wasteful number, since it uses less digits than its factorization.

100010011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100010011200 its reverse (2110010001), we get a palindrome (102120021201).

The spelling of 100010011200 in words is "one hundred billion, ten million, eleven thousand, two hundred".