101538587020 has 48 divisors (see below), whose sum is σ = 243141278688. Its totient is φ = 35285806080.

The previous prime is 101538587011. The next prime is 101538587047. The reversal of 101538587020 is 20785835101.

101538587020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101538587020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11481846 + ... + 11490685.

It is an arithmetic number, because the mean of its divisors is an integer number (5065443306).

Almost surely, 2^101538587020 is an apocalyptic number.

101538587020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101538587020 is an abundant number, since it is smaller than the sum of its proper divisors (141602691668).

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

101538587020 is a wasteful number, since it uses less digits than its factorization.

101538587020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22972570 (or 22972568 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 101538587020 in words is "one hundred one billion, five hundred thirty-eight million, five hundred eighty-seven thousand, twenty".