100011221957 has 2 divisors, whose sum is σ = 100011221958. Its totient is φ = 100011221956.

The previous prime is 100011221939. The next prime is 100011221987. The reversal of 100011221957 is 759122110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82894471396 + 17116750561 = 287914^2 + 130831^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011221957 - 2²⁸ = 99742786501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011221987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005610978 + 50005610979.

It is an arithmetic number, because the mean of its divisors is an integer number (50005610979).

Almost surely, 2^100011221957 is an apocalyptic number.

It is an amenable number.

100011221957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011221957 is an equidigital number, since it uses as much as digits as its factorization.

100011221957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 29.

Adding to 100011221957 its reverse (759122110001), we get a palindrome (859133331958).

The spelling of 100011221957 in words is "one hundred billion, eleven million, two hundred twenty-one thousand, nine hundred fifty-seven".