101014021993 has 2 divisors, whose sum is σ = 101014021994. Its totient is φ = 101014021992.

The previous prime is 101014021991. The next prime is 101014022027. The reversal of 101014021993 is 399120410101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81469143184 + 19544878809 = 285428^2 + 139803^2 .

It is a cyclic number.

It is not a de Polignac number, because 101014021993 - 2¹ = 101014021991 is a prime.

Together with 101014021991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101014021991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50507010996 + 50507010997.

It is an arithmetic number, because the mean of its divisors is an integer number (50507010997).

Almost surely, 2^101014021993 is an apocalyptic number.

It is an amenable number.

101014021993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014021993 is an equidigital number, since it uses as much as digits as its factorization.

101014021993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 101014021993 in words is "one hundred one billion, fourteen million, twenty-one thousand, nine hundred ninety-three".