2100042092801 has 2 divisors, whose sum is σ = 2100042092802. Its totient is φ = 2100042092800.

The previous prime is 2100042092741. The next prime is 2100042092831. The reversal of 2100042092801 is 1082902400012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1352813241025 + 747228851776 = 1163105^2 + 864424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100042092801 - 2⁶ = 2100042092737 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100042092831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050021046400 + 1050021046401.

It is an arithmetic number, because the mean of its divisors is an integer number (1050021046401).

Almost surely, 2^{2100042092801} is an apocalyptic number.

It is an amenable number.

2100042092801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100042092801 is an equidigital number, since it uses as much as digits as its factorization.

2100042092801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 2100042092801 its reverse (1082902400012), we get a palindrome (3182944492813).

The spelling of 2100042092801 in words is "two trillion, one hundred billion, forty-two million, ninety-two thousand, eight hundred one".