101514312113052 has 48 divisors (see below), whose sum is σ = 238788341269632. Its totient is φ = 33564625765440.

The previous prime is 101514312113017. The next prime is 101514312113059. The reversal of 101514312113052 is 250311213415101.

It is a super-2 number, since 2×101514312113052² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101514312113059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64084218 + ... + 65649185.

It is an arithmetic number, because the mean of its divisors is an integer number (4974757109784).

Almost surely, 2^{101514312113052} is an apocalyptic number.

101514312113052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101514312113052 is an abundant number, since it is smaller than the sum of its proper divisors (137274029156580).

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

101514312113052 is a wasteful number, since it uses less digits than its factorization.

101514312113052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129733938 (or 129733936 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 101514312113052 its reverse (250311213415101), we get a palindrome (351825525528153).

The spelling of 101514312113052 in words is "one hundred one trillion, five hundred fourteen billion, three hundred twelve million, one hundred thirteen thousand, fifty-two".