2100211010993 has 2 divisors, whose sum is σ = 2100211010994. Its totient is φ = 2100211010992.

The previous prime is 2100211010927. The next prime is 2100211011049. The reversal of 2100211010993 is 3990101120012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1893797079409 + 206413931584 = 1376153^2 + 454328^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100211010993 - 2¹⁰ = 2100211009969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100211010593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050105505496 + 1050105505497.

It is an arithmetic number, because the mean of its divisors is an integer number (1050105505497).

Almost surely, 2^{2100211010993} is an apocalyptic number.

It is an amenable number.

2100211010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100211010993 is an equidigital number, since it uses as much as digits as its factorization.

2100211010993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 2100211010993 in words is "two trillion, one hundred billion, two hundred eleven million, ten thousand, nine hundred ninety-three".