101211212210993 has 2 divisors, whose sum is σ = 101211212210994. Its totient is φ = 101211212210992.

The previous prime is 101211212210963. The next prime is 101211212211019. The reversal of 101211212210993 is 399012212112101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100652922303649 + 558289907344 = 10032593^2 + 747188^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211212210993 - 2⁸ = 101211212210737 is a prime.

It is not a weakly prime, because it can be changed into another prime (101211212210963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605606105496 + 50605606105497.

It is an arithmetic number, because the mean of its divisors is an integer number (50605606105497).

Almost surely, 2^{101211212210993} is an apocalyptic number.

It is an amenable number.

101211212210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211212210993 is an equidigital number, since it uses as much as digits as its factorization.

101211212210993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 35.

The spelling of 101211212210993 in words is "one hundred one trillion, two hundred eleven billion, two hundred twelve million, two hundred ten thousand, nine hundred ninety-three".