101110932892261 has 2 divisors, whose sum is σ = 101110932892262. Its totient is φ = 101110932892260.

The previous prime is 101110932892237. The next prime is 101110932892271. The reversal of 101110932892261 is 162298239011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81462014948161 + 19648917944100 = 9025631^2 + 4432710^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110932892261 - 2²³ = 101110924503653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110932892271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555466446130 + 50555466446131.

It is an arithmetic number, because the mean of its divisors is an integer number (50555466446131).

Almost surely, 2^{101110932892261} is an apocalyptic number.

It is an amenable number.

101110932892261 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110932892261 is an equidigital number, since it uses as much as digits as its factorization.

101110932892261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 46.

The spelling of 101110932892261 in words is "one hundred one trillion, one hundred ten billion, nine hundred thirty-two million, eight hundred ninety-two thousand, two hundred sixty-one".