101020111109921 has 2 divisors, whose sum is σ = 101020111109922. Its totient is φ = 101020111109920.

The previous prime is 101020111109903. The next prime is 101020111109963. The reversal of 101020111109921 is 129901111020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59167479361600 + 41852631748321 = 7692040^2 + 6469361^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020111109921 - 2¹⁰ = 101020111108897 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020111102921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055554960 + 50510055554961.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055554961).

Almost surely, 2^{101020111109921} is an apocalyptic number.

It is an amenable number.

101020111109921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111109921 is an equidigital number, since it uses as much as digits as its factorization.

101020111109921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 29.

The spelling of 101020111109921 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred nine thousand, nine hundred twenty-one".