100222010121257 has 2 divisors, whose sum is σ = 100222010121258. Its totient is φ = 100222010121256.

The previous prime is 100222010121179. The next prime is 100222010121313. The reversal of 100222010121257 is 752121010222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88579645128976 + 11642364992281 = 9411676^2 + 3412091^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222010121257 - 2²⁶ = 100221943012393 is a prime.

It is a super-3 number, since 3×100222010121257³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100222010121757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111005060628 + 50111005060629.

It is an arithmetic number, because the mean of its divisors is an integer number (50111005060629).

Almost surely, 2^{100222010121257} is an apocalyptic number.

It is an amenable number.

100222010121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222010121257 is an equidigital number, since it uses as much as digits as its factorization.

100222010121257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 100222010121257 its reverse (752121010222001), we get a palindrome (852343020343258).

The spelling of 100222010121257 in words is "one hundred trillion, two hundred twenty-two billion, ten million, one hundred twenty-one thousand, two hundred fifty-seven".