101013111210000 has 200 divisors, whose sum is σ = 355727773599264. Its totient is φ = 24488026880000.

The previous prime is 101013111209971. The next prime is 101013111210001. The reversal of 101013111210000 is 12111310101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101013111210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152720169 + ... + 153380168.

Almost surely, 2^{101013111210000} is an apocalyptic number.

101013111210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013111210000 is an abundant number, since it is smaller than the sum of its proper divisors (254714662389264).

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

101013111210000 is a wasteful number, since it uses less digits than its factorization.

101013111210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306100379 (or 306100358 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101013111210000 its reverse (12111310101), we get a palindrome (101025222520101).

It can be divided in two parts, 10101311 and 1210000, that added together give a palindrome (11311311).

The spelling of 101013111210000 in words is "one hundred one trillion, thirteen billion, one hundred eleven million, two hundred ten thousand".