101220032999257 has 2 divisors, whose sum is σ = 101220032999258. Its totient is φ = 101220032999256.

The previous prime is 101220032999243. The next prime is 101220032999269. The reversal of 101220032999257 is 752999230022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79433440551936 + 21786592447321 = 8912544^2 + 4667611^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220032999257 - 2¹⁹ = 101220032474969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101220032999857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610016499628 + 50610016499629.

It is an arithmetic number, because the mean of its divisors is an integer number (50610016499629).

Almost surely, 2^{101220032999257} is an apocalyptic number.

It is an amenable number.

101220032999257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220032999257 is an equidigital number, since it uses as much as digits as its factorization.

101220032999257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 101220032999257 in words is "one hundred one trillion, two hundred twenty billion, thirty-two million, nine hundred ninety-nine thousand, two hundred fifty-seven".