101121001211977 has 2 divisors, whose sum is σ = 101121001211978. Its totient is φ = 101121001211976.

The previous prime is 101121001211911. The next prime is 101121001212017. The reversal of 101121001211977 is 779112100121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96202670423616 + 4918330788361 = 9808296^2 + 2217731^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121001211977 - 2⁷ = 101121001211849 is a prime.

It is a super-2 number, since 2×101121001211977² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101121001211677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560500605988 + 50560500605989.

It is an arithmetic number, because the mean of its divisors is an integer number (50560500605989).

Almost surely, 2^{101121001211977} is an apocalyptic number.

It is an amenable number.

101121001211977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121001211977 is an equidigital number, since it uses as much as digits as its factorization.

101121001211977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 34.

The spelling of 101121001211977 in words is "one hundred one trillion, one hundred twenty-one billion, one million, two hundred eleven thousand, nine hundred seventy-seven".