100022110102093 has 2 divisors, whose sum is σ = 100022110102094. Its totient is φ = 100022110102092.

The previous prime is 100022110102091. The next prime is 100022110102097. The reversal of 100022110102093 is 390201011220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99318226017609 + 703884084484 = 9965853^2 + 838978^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022110102093 - 2¹ = 100022110102091 is a prime.

Together with 100022110102091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022110102091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011055051046 + 50011055051047.

It is an arithmetic number, because the mean of its divisors is an integer number (50011055051047).

Almost surely, 2^{100022110102093} is an apocalyptic number.

It is an amenable number.

100022110102093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022110102093 is an equidigital number, since it uses as much as digits as its factorization.

100022110102093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 100022110102093 its reverse (390201011220001), we get a palindrome (490223121322094).

The spelling of 100022110102093 in words is "one hundred trillion, twenty-two billion, one hundred ten million, one hundred two thousand, ninety-three".