101261388521020 has 48 divisors (see below), whose sum is σ = 261721742643648. Its totient is φ = 32047560322560.

The previous prime is 101261388520973. The next prime is 101261388521021. The reversal of 101261388521020 is 20125883162101.

It is a super-2 number, since 2×101261388521020² (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 (101261388521021) 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, 27819060961 + ... + 27819064600.

It is an arithmetic number, because the mean of its divisors is an integer number (5452536305076).

Almost surely, 2^{101261388521020} is an apocalyptic number.

101261388521020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101261388521020 is an abundant number, since it is smaller than the sum of its proper divisors (160460354122628).

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

101261388521020 is a wasteful number, since it uses less digits than its factorization.

101261388521020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55638125590 (or 55638125588 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 101261388521020 in words is "one hundred one trillion, two hundred sixty-one billion, three hundred eighty-eight million, five hundred twenty-one thousand, twenty".