101121109993 has 2 divisors, whose sum is σ = 101121109994. Its totient is φ = 101121109992.

The previous prime is 101121109987. The next prime is 101121109997. The reversal of 101121109993 is 399901121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53486737984 + 47634372009 = 231272^2 + 218253^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121109993 - 2²⁵ = 101087555561 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121109997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560554996 + 50560554997.

It is an arithmetic number, because the mean of its divisors is an integer number (50560554997).

Almost surely, 2^101121109993 is an apocalyptic number.

It is an amenable number.

101121109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121109993 is an equidigital number, since it uses as much as digits as its factorization.

101121109993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 101121109993 in words is "one hundred one billion, one hundred twenty-one million, one hundred nine thousand, nine hundred ninety-three".