101235040062552 has 96 divisors (see below), whose sum is σ = 299266887029760. Its totient is φ = 30660530040000.

The previous prime is 101235040062551. The next prime is 101235040062587. The reversal of 101235040062552 is 255260040532101.

101235040062552 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 5 + 0 + 40 + 0 + 62 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101235040062551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33454824 + ... + 36355127.

It is an arithmetic number, because the mean of its divisors is an integer number (3117363406560).

Almost surely, 2^{101235040062552} is an apocalyptic number.

101235040062552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101235040062552 is an abundant number, since it is smaller than the sum of its proper divisors (198031846967208).

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

101235040062552 is a wasteful number, since it uses less digits than its factorization.

101235040062552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69811805 (or 69811798 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 101235040062552 its reverse (255260040532101), we get a palindrome (356495080594653).

The spelling of 101235040062552 in words is "one hundred one trillion, two hundred thirty-five billion, forty million, sixty-two thousand, five hundred fifty-two".