101028306532128 has 48 divisors (see below), whose sum is σ = 267107213348640. Its totient is φ = 33433828056576.

The previous prime is 101028306532123. The next prime is 101028306532141. The reversal of 101028306532128 is 821235603820101.

101028306532128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101028306532128² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101028306532128.

It is not an unprimeable number, because it can be changed into a prime (101028306532123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3785519725 + ... + 3785546412.

It is an arithmetic number, because the mean of its divisors is an integer number (5564733611430).

Almost surely, 2^{101028306532128} is an apocalyptic number.

It is an amenable number.

101028306532128 is an abundant number, since it is smaller than the sum of its proper divisors (166078906816512).

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

101028306532128 is a wasteful number, since it uses less digits than its factorization.

101028306532128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571066289 (or 7571066281 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 101028306532128 in words is "one hundred one trillion, twenty-eight billion, three hundred six million, five hundred thirty-two thousand, one hundred twenty-eight".