2100042100993 has 2 divisors, whose sum is σ = 2100042100994. Its totient is φ = 2100042100992.

The previous prime is 2100042100957. The next prime is 2100042101041. The reversal of 2100042100993 is 3990012400012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2015184663184 + 84857437809 = 1419572^2 + 291303^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100042100993 - 2¹³ = 2100042092801 is a prime.

It is a super-2 number, since 2×2100042100993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100042100943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050021050496 + 1050021050497.

It is an arithmetic number, because the mean of its divisors is an integer number (1050021050497).

Almost surely, 2^{2100042100993} is an apocalyptic number.

It is an amenable number.

2100042100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100042100993 is an equidigital number, since it uses as much as digits as its factorization.

2100042100993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 2100042100993 in words is "two trillion, one hundred billion, forty-two million, one hundred thousand, nine hundred ninety-three".