101050952972288 has 192 divisors, whose sum is σ = 227292759832320. Its totient is φ = 44515123200000.

The previous prime is 101050952972227. The next prime is 101050952972303. The reversal of 101050952972288 is 882279259050101.

It is a super-2 number, since 2×101050952972288² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 139108583 + ... + 139833113.

It is an arithmetic number, because the mean of its divisors is an integer number (1183816457460).

Almost surely, 2^{101050952972288} 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 101050952972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113646379916160).

101050952972288 is an abundant number, since it is smaller than the sum of its proper divisors (126241806860032).

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

101050952972288 is a wasteful number, since it uses less digits than its factorization.

101050952972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724756 (or 724736 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 59.

The spelling of 101050952972288 in words is "one hundred one trillion, fifty billion, nine hundred fifty-two million, nine hundred seventy-two thousand, two hundred eighty-eight".