21112101001973 has 2 divisors, whose sum is σ = 21112101001974. Its totient is φ = 21112101001972.

The previous prime is 21112101001919. The next prime is 21112101002009. The reversal of 21112101001973 is 37910010121112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15264516162289 + 5847584839684 = 3906983^2 + 2418178^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112101001973 - 2¹⁴ = 21112100985589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21112101001073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556050500986 + 10556050500987.

It is an arithmetic number, because the mean of its divisors is an integer number (10556050500987).

Almost surely, 2^{21112101001973} is an apocalyptic number.

It is an amenable number.

21112101001973 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112101001973 is an equidigital number, since it uses as much as digits as its factorization.

21112101001973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 29.

The spelling of 21112101001973 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, one thousand, nine hundred seventy-three".