101121010993 has 2 divisors, whose sum is σ = 101121010994. Its totient is φ = 101121010992.

The previous prime is 101121010981. The next prime is 101121010997. The reversal of 101121010993 is 399010121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62874559504 + 38246451489 = 250748^2 + 195567^2 .

It is an emirp because it is prime and its reverse (399010121101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121010997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560505496 + 50560505497.

It is an arithmetic number, because the mean of its divisors is an integer number (50560505497).

Almost surely, 2^101121010993 is an apocalyptic number.

It is an amenable number.

101121010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121010993 is an equidigital number, since it uses as much as digits as its factorization.

101121010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 101121010993 in words is "one hundred one billion, one hundred twenty-one million, ten thousand, nine hundred ninety-three".