101212906565772 has 72 divisors (see below), whose sum is σ = 259019492943120. Its totient is φ = 33321369600000.

The previous prime is 101212906565711. The next prime is 101212906565773. The reversal of 101212906565772 is 277565609212101.

101212906565772 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 2 + 9 + 0 + 6 + 565 + 7 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (101212906565773) 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, 51434229 + ... + 53365772.

Almost surely, 2^{101212906565772} is an apocalyptic number.

101212906565772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212906565772 is an abundant number, since it is smaller than the sum of its proper divisors (157806586377348).

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

101212906565772 is a wasteful number, since it uses less digits than its factorization.

101212906565772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104800343 (or 104800338 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 101212906565772 in words is "one hundred one trillion, two hundred twelve billion, nine hundred six million, five hundred sixty-five thousand, seven hundred seventy-two".