101101110111112 has 64 divisors (see below), whose sum is σ = 193235498588160. Its totient is φ = 49572582259200.

The previous prime is 101101110111091. The next prime is 101101110111137. The reversal of 101101110111112 is 211111011101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101110111092 and 101101110111101.

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, 14020397187 + ... + 14020404397.

It is an arithmetic number, because the mean of its divisors is an integer number (3019304665440).

Almost surely, 2^{101101110111112} is an apocalyptic number.

It is an amenable number.

101101110111112 is a deficient number, since it is larger than the sum of its proper divisors (92134388477048).

101101110111112 is a wasteful number, since it uses less digits than its factorization.

101101110111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18814 (or 18810 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 101101110111112 its reverse (211111011101101), we get a palindrome (312212121212213).

The spelling of 101101110111112 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred twelve".