101021022200993 has 2 divisors, whose sum is σ = 101021022200994. Its totient is φ = 101021022200992.

The previous prime is 101021022200977. The next prime is 101021022201149. The reversal of 101021022200993 is 399002220120101.

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., 98183980541089 + 2837041659904 = 9908783^2 + 1684352^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021022200993 - 2⁴ = 101021022200977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101021822200993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510511100496 + 50510511100497.

It is an arithmetic number, because the mean of its divisors is an integer number (50510511100497).

Almost surely, 2^{101021022200993} is an apocalyptic number.

It is an amenable number.

101021022200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021022200993 is an equidigital number, since it uses as much as digits as its factorization.

101021022200993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 101021022200993 in words is "one hundred one trillion, twenty-one billion, twenty-two million, two hundred thousand, nine hundred ninety-three".