100010021257 has 2 divisors, whose sum is σ = 100010021258. Its totient is φ = 100010021256.

The previous prime is 100010021231. The next prime is 100010021263. The reversal of 100010021257 is 752120010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78017427856 + 21992593401 = 279316^2 + 148299^2 .

It is an emirp because it is prime and its reverse (752120010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010021257 - 2¹⁵ = 100009988489 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010021057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005010628 + 50005010629.

It is an arithmetic number, because the mean of its divisors is an integer number (50005010629).

Almost surely, 2^100010021257 is an apocalyptic number.

It is an amenable number.

100010021257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010021257 is an equidigital number, since it uses as much as digits as its factorization.

100010021257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 100010021257 its reverse (752120010001), we get a palindrome (852130031258).

The spelling of 100010021257 in words is "one hundred billion, ten million, twenty-one thousand, two hundred fifty-seven".