101298942528 has 112 divisors (see below), whose sum is σ = 306668789760. Its totient is φ = 28908532224.

The previous prime is 101298942517. The next prime is 101298942553. The reversal of 101298942528 is 825249892101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×101298942528² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110625 + ... + 1198367.

Almost surely, 2^101298942528 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 101298942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153334394880).

101298942528 is an abundant number, since it is smaller than the sum of its proper divisors (205369847232).

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

101298942528 is an equidigital number, since it uses as much as digits as its factorization.

101298942528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88624 (or 88614 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 101298942528 in words is "one hundred one billion, two hundred ninety-eight million, nine hundred forty-two thousand, five hundred twenty-eight".