2101100023261 has 2 divisors, whose sum is σ = 2101100023262. Its totient is φ = 2101100023260.

The previous prime is 2101100023247. The next prime is 2101100023417. The reversal of 2101100023261 is 1623200011012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1930112811225 + 170987212036 = 1389285^2 + 413506^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100023261 - 2²⁹ = 2100563152349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101100023861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550011630 + 1050550011631.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550011631).

Almost surely, 2^{2101100023261} is an apocalyptic number.

It is an amenable number.

2101100023261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100023261 is an equidigital number, since it uses as much as digits as its factorization.

2101100023261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2101100023261 its reverse (1623200011012), we get a palindrome (3724300034273).

The spelling of 2101100023261 in words is "two trillion, one hundred one billion, one hundred million, twenty-three thousand, two hundred sixty-one".