10022100100993 has 2 divisors, whose sum is σ = 10022100100994. Its totient is φ = 10022100100992.

The previous prime is 10022100100979. The next prime is 10022100101033. The reversal of 10022100100993 is 39900100122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9661976490384 + 360123610609 = 3108372^2 + 600103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022100100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022104100993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011050050496 + 5011050050497.

It is an arithmetic number, because the mean of its divisors is an integer number (5011050050497).

Almost surely, 2^{10022100100993} is an apocalyptic number.

It is an amenable number.

10022100100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022100100993 is an equidigital number, since it uses as much as digits as its factorization.

10022100100993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 28.

Adding to 10022100100993 its reverse (39900100122001), we get a palindrome (49922200222994).

The spelling of 10022100100993 in words is "ten trillion, twenty-two billion, one hundred million, one hundred thousand, nine hundred ninety-three".