101020598749504 has 112 divisors (see below), whose sum is σ = 229814531975808. Its totient is φ = 43159636574208.

The previous prime is 101020598749501. The next prime is 101020598749507. The reversal of 101020598749504 is 405947895020101.

It is an interprime number because it is at equal distance from previous prime (101020598749501) and next prime (101020598749507).

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

It is a super-2 number, since 2×101020598749504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020598749501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568122499 + ... + 568300285.

Almost surely, 2^{101020598749504} is an apocalyptic number.

101020598749504 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 101020598749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114907265987904).

101020598749504 is an abundant number, since it is smaller than the sum of its proper divisors (128793933226304).

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

101020598749504 is a wasteful number, since it uses less digits than its factorization.

101020598749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181752 (or 181742 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 101020598749504 in words is "one hundred one trillion, twenty billion, five hundred ninety-eight million, seven hundred forty-nine thousand, five hundred four".