101462712480 has 120 divisors (see below), whose sum is σ = 358078868532. Its totient is φ = 27056719872.

The previous prime is 101462712437. The next prime is 101462712487. The reversal of 101462712480 is 84217264101.

It is a happy number.

101462712480 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 627 + 1 + 24 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93042080784 + 8420631696 = 305028^2 + 91764^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (101462712487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3901497 + ... + 3927416.

Almost surely, 2^101462712480 is an apocalyptic number.

101462712480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101462712480 is an abundant number, since it is smaller than the sum of its proper divisors (256616156052).

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

101462712480 is an equidigital number, since it uses as much as digits as its factorization.

101462712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828940 (or 7828923 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 101462712480 its reverse (84217264101), we get a palindrome (185679976581).

The spelling of 101462712480 in words is "one hundred one billion, four hundred sixty-two million, seven hundred twelve thousand, four hundred eighty".