101080064769552 has 300 divisors, whose sum is σ = 322705182473520. Its totient is φ = 30522074901120.

The previous prime is 101080064769547. The next prime is 101080064769559. The reversal of 101080064769552 is 255967460080101.

It is a happy number.

101080064769552 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 80 + 0 + 6 + 4 + 7 + 6 + 9 + 552 = 666.

101080064769552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (101080064769559) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43240099 + ... + 45517757.

Almost surely, 2^{101080064769552} is an apocalyptic number.

101080064769552 is a gapful number since it is divisible by the number (12) 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 101080064769552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161352591236760).

101080064769552 is an abundant number, since it is smaller than the sum of its proper divisors (221625117703968).

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

101080064769552 is a wasteful number, since it uses less digits than its factorization.

101080064769552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277984 (or 2277958 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 101080064769552 in words is "one hundred one trillion, eighty billion, sixty-four million, seven hundred sixty-nine thousand, five hundred fifty-two".