1012136777961 has 32 divisors (see below), whose sum is σ = 1415927482368. Its totient is φ = 642348688320.

The previous prime is 1012136777921. The next prime is 1012136777999. The reversal of 1012136777961 is 1697776312101.

1012136777961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012136777961 - 2³⁷ = 874697824489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012136777921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17348706 + ... + 17406948.

It is an arithmetic number, because the mean of its divisors is an integer number (44247733824).

Almost surely, 2^{1012136777961} is an apocalyptic number.

It is an amenable number.

1012136777961 is a deficient number, since it is larger than the sum of its proper divisors (403790704407).

1012136777961 is a wasteful number, since it uses less digits than its factorization.

1012136777961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61661.

The product of its (nonzero) digits is 666792, while the sum is 51.

The spelling of 1012136777961 in words is "one trillion, twelve billion, one hundred thirty-six million, seven hundred seventy-seven thousand, nine hundred sixty-one".