101000112112 has 20 divisors (see below), whose sum is σ = 196934140696. Its totient is φ = 50178398400.

The previous prime is 101000112107. The next prime is 101000112127. The reversal of 101000112112 is 211211000101.

101000112112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101000112112³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20101014 + ... + 20106037.

Almost surely, 2^101000112112 is an apocalyptic number.

It is an amenable number.

101000112112 is a deficient number, since it is larger than the sum of its proper divisors (95934028584).

101000112112 is a wasteful number, since it uses less digits than its factorization.

101000112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40207216 (or 40207210 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000112112 its reverse (211211000101), we get a palindrome (312211112213).

The spelling of 101000112112 in words is "one hundred one billion, one hundred twelve thousand, one hundred twelve".