101001110112112 has 80 divisors (see below), whose sum is σ = 223775923852800. Its totient is φ = 43260916849920.

The previous prime is 101001110112073. The next prime is 101001110112113. The reversal of 101001110112112 is 211211011100101.

It is a super-3 number, since 3×101001110112112³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001110112092 and 101001110112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001110112113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1964250339 + ... + 1964301757.

It is an arithmetic number, because the mean of its divisors is an integer number (2797199048160).

Almost surely, 2^{101001110112112} is an apocalyptic number.

It is an amenable number.

101001110112112 is an abundant number, since it is smaller than the sum of its proper divisors (122774813740688).

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

101001110112112 is a wasteful number, since it uses less digits than its factorization.

101001110112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61334 (or 61328 counting only the distinct ones).

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

Adding to 101001110112112 its reverse (211211011100101), we get a palindrome (312212121212213).

The spelling of 101001110112112 in words is "one hundred one trillion, one billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".