101210112312300 has 108 divisors (see below), whose sum is σ = 317272635126720. Its totient is φ = 26986371930240.

The previous prime is 101210112312293. The next prime is 101210112312349. The reversal of 101210112312300 is 3213211012101.

101210112312300 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 112 + 312 + 30 + 0 = 666.

It is a super-3 number, since 3×101210112312300³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1898629 + ... + 14353571.

Almost surely, 2^{101210112312300} is an apocalyptic number.

101210112312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210112312300 is an abundant number, since it is smaller than the sum of its proper divisors (216062522814420).

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

101210112312300 is a wasteful number, since it uses less digits than its factorization.

101210112312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12463992 (or 12463982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101210112312300 its reverse (3213211012101), we get a palindrome (104423323324401).

The spelling of 101210112312300 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, three hundred twelve thousand, three hundred".