101211111009977 has 2 divisors, whose sum is σ = 101211111009978. Its totient is φ = 101211111009976.

The previous prime is 101211111009973. The next prime is 101211111009997. The reversal of 101211111009977 is 779900111112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88076423089216 + 13134687920761 = 9384904^2 + 3624181^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211111009977 - 2² = 101211111009973 is a prime.

It is not a weakly prime, because it can be changed into another prime (101211111009973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605555504988 + 50605555504989.

It is an arithmetic number, because the mean of its divisors is an integer number (50605555504989).

Almost surely, 2^{101211111009977} is an apocalyptic number.

It is an amenable number.

101211111009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211111009977 is an equidigital number, since it uses as much as digits as its factorization.

101211111009977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 41.

The spelling of 101211111009977 in words is "one hundred one trillion, two hundred eleven billion, one hundred eleven million, nine thousand, nine hundred seventy-seven".