100111112101200 has 120 divisors (see below), whose sum is σ = 320760814189408. Its totient is φ = 26690340119040.

The previous prime is 100111112101199. The next prime is 100111112101237. The reversal of 100111112101200 is 2101211111001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×100111112101200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3925099 + ... + 14684298.

Almost surely, 2^{100111112101200} is an apocalyptic number.

100111112101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111112101200 is an abundant number, since it is smaller than the sum of its proper divisors (220649702088208).

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

100111112101200 is a wasteful number, since it uses less digits than its factorization.

100111112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18613901 (or 18613890 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111112101200 its reverse (2101211111001), we get a palindrome (102212323212201).

The spelling of 100111112101200 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, one hundred one thousand, two hundred".