1012136777999 has 2 divisors, whose sum is σ = 1012136778000. Its totient is φ = 1012136777998.

The previous prime is 1012136777921. The next prime is 1012136778007. The reversal of 1012136777999 is 9997776312101.

1012136777999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1012136777999 - 2²⁸ = 1011868342543 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012136707999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506068388999 + 506068389000.

It is an arithmetic number, because the mean of its divisors is an integer number (506068389000).

Almost surely, 2^{1012136777999} is an apocalyptic number.

1012136777999 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012136777999 is an equidigital number, since it uses as much as digits as its factorization.

1012136777999 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9001692, while the sum is 62.

The spelling of 1012136777999 in words is "one trillion, twelve billion, one hundred thirty-six million, seven hundred seventy-seven thousand, nine hundred ninety-nine".