100111210002112 has 56 divisors (see below), whose sum is σ = 205664275792800. Its totient is φ = 48292907421696.

The previous prime is 100111210002109. The next prime is 100111210002127. The reversal of 100111210002112 is 211200012111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100111210002092 and 100111210002101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17998953 + ... + 22895080.

Almost surely, 2^{100111210002112} is an apocalyptic number.

It is an amenable number.

100111210002112 is an abundant number, since it is smaller than the sum of its proper divisors (105553065790688).

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

100111210002112 is a wasteful number, since it uses less digits than its factorization.

100111210002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40895393 (or 40895383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111210002112 its reverse (211200012111001), we get a palindrome (311311222113113).

The spelling of 100111210002112 in words is "one hundred trillion, one hundred eleven billion, two hundred ten million, two thousand, one hundred twelve".