101211210200993 has 2 divisors, whose sum is σ = 101211210200994. Its totient is φ = 101211210200992.

The previous prime is 101211210200951. The next prime is 101211210201047. The reversal of 101211210200993 is 399002012112101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88330806011809 + 12880404189184 = 9398447^2 + 3588928^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211210200993 - 2³⁶ = 101142490724257 is a prime.

It is not a weakly prime, because it can be changed into another prime (101211210200293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605605100496 + 50605605100497.

It is an arithmetic number, because the mean of its divisors is an integer number (50605605100497).

Almost surely, 2^{101211210200993} is an apocalyptic number.

It is an amenable number.

101211210200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211210200993 is an equidigital number, since it uses as much as digits as its factorization.

101211210200993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 101211210200993 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, two hundred thousand, nine hundred ninety-three".