21112102000993 has 2 divisors, whose sum is σ = 21112102000994. Its totient is φ = 21112102000992.

The previous prime is 21112102000963. The next prime is 21112102001069. The reversal of 21112102000993 is 39900020121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17625412217169 + 3486689783824 = 4198263^2 + 1867268^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112102000993 - 2²⁵ = 21112068446561 is a prime.

It is not a weakly prime, because it can be changed into another prime (21112102000963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556051000496 + 10556051000497.

It is an arithmetic number, because the mean of its divisors is an integer number (10556051000497).

Almost surely, 2^{21112102000993} is an apocalyptic number.

It is an amenable number.

21112102000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112102000993 is an equidigital number, since it uses as much as digits as its factorization.

21112102000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 21112102000993 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, nine hundred ninety-three", and thus it is an aban number.