101111012201977 has 2 divisors, whose sum is σ = 101111012201978. Its totient is φ = 101111012201976.

The previous prime is 101111012201959. The next prime is 101111012202049. The reversal of 101111012201977 is 779102210111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101094900723216 + 16111478761 = 10054596^2 + 126931^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111012201977 - 2¹¹ = 101111012199929 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111012201777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555506100988 + 50555506100989.

It is an arithmetic number, because the mean of its divisors is an integer number (50555506100989).

Almost surely, 2^{101111012201977} is an apocalyptic number.

It is an amenable number.

101111012201977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111012201977 is an equidigital number, since it uses as much as digits as its factorization.

101111012201977 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 101111012201977 in words is "one hundred one trillion, one hundred eleven billion, twelve million, two hundred one thousand, nine hundred seventy-seven".