101514120224512 has 72 divisors (see below), whose sum is σ = 214647834349872. Its totient is φ = 47749837209600.

The previous prime is 101514120224507. The next prime is 101514120224567. The reversal of 101514120224512 is 215422021415101.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4414587 + ... + 14916997.

It is an arithmetic number, because the mean of its divisors is an integer number (2981219921526).

Almost surely, 2^{101514120224512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101514120224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107323917174936).

101514120224512 is an abundant number, since it is smaller than the sum of its proper divisors (113133714125360).

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

101514120224512 is a wasteful number, since it uses less digits than its factorization.

101514120224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504665 (or 10504651 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

Adding to 101514120224512 its reverse (215422021415101), we get a palindrome (316936141639613).

The spelling of 101514120224512 in words is "one hundred one trillion, five hundred fourteen billion, one hundred twenty million, two hundred twenty-four thousand, five hundred twelve".