101121101000921 has 2 divisors, whose sum is σ = 101121101000922. Its totient is φ = 101121101000920.

The previous prime is 101121101000831. The next prime is 101121101001061. The reversal of 101121101000921 is 129000101121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58529553512521 + 42591547488400 = 7650461^2 + 6526220^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121101000921 - 2³⁸ = 100846223093977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121101000893 and 101121101000902.

It is not a weakly prime, because it can be changed into another prime (101121101000021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560550500460 + 50560550500461.

It is an arithmetic number, because the mean of its divisors is an integer number (50560550500461).

Almost surely, 2^{101121101000921} is an apocalyptic number.

It is an amenable number.

101121101000921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121101000921 is an equidigital number, since it uses as much as digits as its factorization.

101121101000921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101121101000921 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred one million, nine hundred twenty-one", and thus it is an aban number.