101210111957 has 2 divisors, whose sum is σ = 101210111958. Its totient is φ = 101210111956.

The previous prime is 101210111953. The next prime is 101210112023. The reversal of 101210111957 is 759111012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79261393156 + 21948718801 = 281534^2 + 148151^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210111957 - 2² = 101210111953 is a prime.

It is a super-3 number, since 3×101210111957³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210111953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605055978 + 50605055979.

It is an arithmetic number, because the mean of its divisors is an integer number (50605055979).

Almost surely, 2^101210111957 is an apocalyptic number.

It is an amenable number.

101210111957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210111957 is an equidigital number, since it uses as much as digits as its factorization.

101210111957 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 29.

The spelling of 101210111957 in words is "one hundred one billion, two hundred ten million, one hundred eleven thousand, nine hundred fifty-seven".