101121011121997 has 2 divisors, whose sum is σ = 101121011121998. Its totient is φ = 101121011121996.

The previous prime is 101121011121967. The next prime is 101121011122069. The reversal of 101121011121997 is 799121110121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73077091608196 + 28043919513801 = 8548514^2 + 5295651^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121011121997 - 2¹⁵ = 101121011089229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121011121967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560505560998 + 50560505560999.

It is an arithmetic number, because the mean of its divisors is an integer number (50560505560999).

Almost surely, 2^{101121011121997} is an apocalyptic number.

It is an amenable number.

101121011121997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121011121997 is an equidigital number, since it uses as much as digits as its factorization.

101121011121997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 37.

The spelling of 101121011121997 in words is "one hundred one trillion, one hundred twenty-one billion, eleven million, one hundred twenty-one thousand, nine hundred ninety-seven".