101121201211937 has 2 divisors, whose sum is σ = 101121201211938. Its totient is φ = 101121201211936.

The previous prime is 101121201211909. The next prime is 101121201211963. The reversal of 101121201211937 is 739112102121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93024308197921 + 8096893014016 = 9644911^2 + 2845504^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121201211937 - 2⁶ = 101121201211873 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121201211907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560600605968 + 50560600605969.

It is an arithmetic number, because the mean of its divisors is an integer number (50560600605969).

Almost surely, 2^{101121201211937} is an apocalyptic number.

It is an amenable number.

101121201211937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121201211937 is an equidigital number, since it uses as much as digits as its factorization.

101121201211937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 32.

The spelling of 101121201211937 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred eleven thousand, nine hundred thirty-seven".