101272555435040 has 48 divisors (see below), whose sum is σ = 261006995148480. Its totient is φ = 36826383793920.

The previous prime is 101272555435021. The next prime is 101272555435091. The reversal of 101272555435040 is 40534555272101.

It is a super-2 number, since 2×101272555435040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 101272555434982 and 101272555435000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28770610580 + ... + 28770614099.

It is an arithmetic number, because the mean of its divisors is an integer number (5437645732260).

Almost surely, 2^{101272555435040} is an apocalyptic number.

101272555435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101272555435040 is an abundant number, since it is smaller than the sum of its proper divisors (159734439713440).

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

101272555435040 is a wasteful number, since it uses less digits than its factorization.

101272555435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57541224705 (or 57541224697 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 44.

The spelling of 101272555435040 in words is "one hundred one trillion, two hundred seventy-two billion, five hundred fifty-five million, four hundred thirty-five thousand, forty".