101102111100112 has 40 divisors (see below), whose sum is σ = 196145307599976. Its totient is φ = 50483976393216.

The previous prime is 101102111100077. The next prime is 101102111100131. The reversal of 101102111100112 is 211001111201101.

It can be written as a sum of positive squares in 4 ways, for example, as 42523232328256 + 58578878771856 = 6520984^2 + 7653684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101102111100092 and 101102111100101.

It is a congruent number.

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, 180454398 + ... + 181013794.

Almost surely, 2^{101102111100112} is an apocalyptic number.

It is an amenable number.

101102111100112 is a deficient number, since it is larger than the sum of its proper divisors (95043196499864).

101102111100112 is a wasteful number, since it uses less digits than its factorization.

101102111100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574375 (or 574369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101102111100112 its reverse (211001111201101), we get a palindrome (312103222301213).

The spelling of 101102111100112 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million, one hundred thousand, one hundred twelve".