101015648078752 has 96 divisors (see below), whose sum is σ = 218652612542784. Its totient is φ = 45557803468800.

The previous prime is 101015648078743. The next prime is 101015648078783. The reversal of 101015648078752 is 257870846510101.

It is a super-2 number, since 2×101015648078752² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101015648078693 and 101015648078702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28210708 + ... + 31589164.

It is an arithmetic number, because the mean of its divisors is an integer number (2277631380654).

Almost surely, 2^{101015648078752} 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 101015648078752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109326306271392).

101015648078752 is an abundant number, since it is smaller than the sum of its proper divisors (117636964464032).

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

101015648078752 is a wasteful number, since it uses less digits than its factorization.

101015648078752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379142 (or 3379134 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 55.

The spelling of 101015648078752 in words is "one hundred one trillion, fifteen billion, six hundred forty-eight million, seventy-eight thousand, seven hundred fifty-two".