101112010330032 has 120 divisors (see below), whose sum is σ = 304788687254688. Its totient is φ = 31106454451200.

The previous prime is 101112010330021. The next prime is 101112010330157. The reversal of 101112010330032 is 230033010211101.

101112010330032 is a `hidden beast` number, since 101 + 1 + 1 + 201 + 0 + 330 + 0 + 32 = 666.

It is a super-2 number, since 2×101112010330032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101112010329987 and 101112010330014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7534932 + ... + 16093452.

Almost surely, 2^{101112010330032} is an apocalyptic number.

101112010330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112010330032 is an abundant number, since it is smaller than the sum of its proper divisors (203676676924656).

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

101112010330032 is a wasteful number, since it uses less digits than its factorization.

101112010330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8564859 (or 8564850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101112010330032 its reverse (230033010211101), we get a palindrome (331145020541133).

The spelling of 101112010330032 in words is "one hundred one trillion, one hundred twelve billion, ten million, three hundred thirty thousand, thirty-two".