101528881864704 has 1120 divisors, whose sum is σ = 371185955965440. Its totient is φ = 26993252892672.

The previous prime is 101528881864699. The next prime is 101528881864727. The reversal of 101528881864704 is 407468188825101.

101528881864704 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 2 + 8 + 8 + 81 + 86 + 470 + 4 = 666.

It is a super-2 number, since 2×101528881864704² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7027672009 + ... + 7027686455.

It is an arithmetic number, because the mean of its divisors is an integer number (331416032112).

Almost surely, 2^{101528881864704} is an apocalyptic number.

101528881864704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101528881864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185592977982720).

101528881864704 is an abundant number, since it is smaller than the sum of its proper divisors (269657074100736).

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

101528881864704 is an equidigital number, since it uses as much as digits as its factorization.

101528881864704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 101528881864704 in words is "one hundred one trillion, five hundred twenty-eight billion, eight hundred eighty-one million, eight hundred sixty-four thousand, seven hundred four".