2100101957 has 2 divisors, whose sum is σ = 2100101958. Its totient is φ = 2100101956.

The previous prime is 2100101921. The next prime is 2100102001. The reversal of 2100101957 is 7591010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1407675361 + 692426596 = 37519^2 + 26314^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100101957 - 2³⁰ = 1026360133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100100957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050978 + 1050050979.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050979).

Almost surely, 2^2100101957 is an apocalyptic number.

It is an amenable number.

2100101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101957 is an equidigital number, since it uses as much as digits as its factorization.

2100101957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 2100101957 is about 45826.8693781279. The cubic root of 2100101957 is about 1280.5998890981.

Adding to 2100101957 its reverse (7591010012), we get a palindrome (9691111969).

The spelling of 2100101957 in words is "two billion, one hundred million, one hundred one thousand, nine hundred fifty-seven".