101121109997 has 2 divisors, whose sum is σ = 101121109998. Its totient is φ = 101121109996.

The previous prime is 101121109993. The next prime is 101121110059. The reversal of 101121109997 is 799901121101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82239327076 + 18881782921 = 286774^2 + 137411^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121109997 - 2² = 101121109993 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121109993) 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, 50560554998 + 50560554999.

It is an arithmetic number, because the mean of its divisors is an integer number (50560554999).

Almost surely, 2^101121109997 is an apocalyptic number.

It is an amenable number.

101121109997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121109997 is an equidigital number, since it uses as much as digits as its factorization.

101121109997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 41.

The spelling of 101121109997 in words is "one hundred one billion, one hundred twenty-one million, one hundred nine thousand, nine hundred ninety-seven".