110100010100957 has 2 divisors, whose sum is σ = 110100010100958. Its totient is φ = 110100010100956.

The previous prime is 110100010100939. The next prime is 110100010101121. The reversal of 110100010100957 is 759001010001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109132726048921 + 967284052036 = 10446661^2 + 983506^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100010100957 - 2⁶ = 110100010100893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100010105957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050005050478 + 55050005050479.

It is an arithmetic number, because the mean of its divisors is an integer number (55050005050479).

Almost surely, 2^{110100010100957} is an apocalyptic number.

It is an amenable number.

110100010100957 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100010100957 is an equidigital number, since it uses as much as digits as its factorization.

110100010100957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 26.

Adding to 110100010100957 its reverse (759001010001011), we get a palindrome (869101020101968).

The spelling of 110100010100957 in words is "one hundred ten trillion, one hundred billion, ten million, one hundred thousand, nine hundred fifty-seven".