101112312013300 has 162 divisors, whose sum is σ = 263735402709366. Its totient is φ = 33548783990400.

The previous prime is 101112312013267. The next prime is 101112312013333. The reversal of 101112312013300 is 3310213211101.

It is an interprime number because it is at equal distance from previous prime (101112312013267) and next prime (101112312013333).

It can be written as a sum of positive squares in 3 ways, for example, as 15921664118416 + 85190647894884 = 3990196^2 + 9229878^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6027399 + ... + 15445198.

Almost surely, 2^{101112312013300} is an apocalyptic number.

101112312013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112312013300 is an abundant number, since it is smaller than the sum of its proper divisors (162623090696066).

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

101112312013300 is a wasteful number, since it uses less digits than its factorization.

101112312013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21472687 (or 21472642 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101112312013300 its reverse (3310213211101), we get a palindrome (104422525224401).

The spelling of 101112312013300 in words is "one hundred one trillion, one hundred twelve billion, three hundred twelve million, thirteen thousand, three hundred".