101121560712 has 24 divisors (see below), whose sum is σ = 273870893790. Its totient is φ = 33707186880.

The previous prime is 101121560711. The next prime is 101121560723. The reversal of 101121560712 is 217065121101.

101121560712 is a `hidden beast` number, since 1 + 0 + 11 + 21 + 560 + 71 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100860867396 + 260693316 = 317586^2 + 16146^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (101121560711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 702232989 + ... + 702233132.

Almost surely, 2^101121560712 is an apocalyptic number.

101121560712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121560712 is an abundant number, since it is smaller than the sum of its proper divisors (172749333078).

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

101121560712 is a wasteful number, since it uses less digits than its factorization.

101121560712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404466133 (or 1404466126 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 101121560712 its reverse (217065121101), we get a palindrome (318186681813).

The spelling of 101121560712 in words is "one hundred one billion, one hundred twenty-one million, five hundred sixty thousand, seven hundred twelve".