100122101957 has 2 divisors, whose sum is σ = 100122101958. Its totient is φ = 100122101956.

The previous prime is 100122101923. The next prime is 100122101969. The reversal of 100122101957 is 759101221001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99886970401 + 235131556 = 316049^2 + 15334^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122101957 - 2¹² = 100122097861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122101857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050978 + 50061050979.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050979).

Almost surely, 2^100122101957 is an apocalyptic number.

It is an amenable number.

100122101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122101957 is an equidigital number, since it uses as much as digits as its factorization.

100122101957 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 100122101957 its reverse (759101221001), we get a palindrome (859223322958).

The spelling of 100122101957 in words is "one hundred billion, one hundred twenty-two million, one hundred one thousand, nine hundred fifty-seven".