10112121997 has 2 divisors, whose sum is σ = 10112121998. Its totient is φ = 10112121996.

The previous prime is 10112121989. The next prime is 10112122049. The reversal of 10112121997 is 79912121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10041242436 + 70879561 = 100206^2 + 8419^2 .

It is an emirp because it is prime and its reverse (79912121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112121997 - 2³ = 10112121989 is a prime.

It is a super-2 number, since 2×10112121997² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112121907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056060998 + 5056060999.

It is an arithmetic number, because the mean of its divisors is an integer number (5056060999).

Almost surely, 2^10112121997 is an apocalyptic number.

It is an amenable number.

10112121997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112121997 is an equidigital number, since it uses as much as digits as its factorization.

10112121997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 34.

The spelling of 10112121997 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, nine hundred ninety-seven".