2100122011993 has 2 divisors, whose sum is σ = 2100122011994. Its totient is φ = 2100122011992.

The previous prime is 2100122011973. The next prime is 2100122012011. The reversal of 2100122011993 is 3991102210012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1381031579929 + 719090432064 = 1175173^2 + 847992^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122011993 - 2³⁷ = 1962683058521 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100122011973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061005996 + 1050061005997.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061005997).

Almost surely, 2^{2100122011993} is an apocalyptic number.

It is an amenable number.

2100122011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122011993 is an equidigital number, since it uses as much as digits as its factorization.

2100122011993 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 2100122011993 in words is "two trillion, one hundred billion, one hundred twenty-two million, eleven thousand, nine hundred ninety-three".