100112001101200 has 120 divisors (see below), whose sum is σ = 264706441426656. Its totient is φ = 36082201344000.

The previous prime is 100112001101183. The next prime is 100112001101237. The reversal of 100112001101200 is 2101100211001.

It is a super-3 number, since 3×100112001101200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 100178586 + ... + 101172985.

Almost surely, 2^{100112001101200} is an apocalyptic number.

100112001101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112001101200 is an abundant number, since it is smaller than the sum of its proper divisors (164594440325456).

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

100112001101200 is a wasteful number, since it uses less digits than its factorization.

100112001101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201351713 (or 201351702 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112001101200 its reverse (2101100211001), we get a palindrome (102213101312201).

The spelling of 100112001101200 in words is "one hundred trillion, one hundred twelve billion, one million, one hundred one thousand, two hundred".