101134120020977 has 2 divisors, whose sum is σ = 101134120020978. Its totient is φ = 101134120020976.

The previous prime is 101134120020959. The next prime is 101134120021049. The reversal of 101134120020977 is 779020021431101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89796111118561 + 11338008902416 = 9476081^2 + 3367196^2 .

It is a cyclic number.

It is not a de Polignac number, because 101134120020977 - 2²² = 101134115826673 is a prime.

It is a super-2 number, since 2×101134120020977² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101134120020977.

It is not a weakly prime, because it can be changed into another prime (101134120020917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50567060010488 + 50567060010489.

It is an arithmetic number, because the mean of its divisors is an integer number (50567060010489).

Almost surely, 2^{101134120020977} is an apocalyptic number.

It is an amenable number.

101134120020977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101134120020977 is an equidigital number, since it uses as much as digits as its factorization.

101134120020977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 101134120020977 in words is "one hundred one trillion, one hundred thirty-four billion, one hundred twenty million, twenty thousand, nine hundred seventy-seven".