100200011102112 has 96 divisors (see below), whose sum is σ = 277246175008320. Its totient is φ = 31598940395520.

The previous prime is 100200011102089. The next prime is 100200011102129. The reversal of 100200011102112 is 211201110002001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×100200011102112³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36135189 + ... + 38809172.

It is an arithmetic number, because the mean of its divisors is an integer number (2887980989670).

Almost surely, 2^{100200011102112} is an apocalyptic number.

100200011102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200011102112 is an abundant number, since it is smaller than the sum of its proper divisors (177046163906208).

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

100200011102112 is a wasteful number, since it uses less digits than its factorization.

100200011102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74945126 (or 74945118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100200011102112 its reverse (211201110002001), we get a palindrome (311401121104113).

The spelling of 100200011102112 in words is "one hundred trillion, two hundred billion, eleven million, one hundred two thousand, one hundred twelve".