100110221219993 has 2 divisors, whose sum is σ = 100110221219994. Its totient is φ = 100110221219992.

The previous prime is 100110221219969. The next prime is 100110221220013. The reversal of 100110221219993 is 399912122011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99952745583769 + 157475636224 = 9997637^2 + 396832^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110221219993 - 2²⁸ = 100109952784537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110221219993.

It is not a weakly prime, because it can be changed into another prime (100110221219893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055110609996 + 50055110609997.

It is an arithmetic number, because the mean of its divisors is an integer number (50055110609997).

Almost surely, 2^{100110221219993} is an apocalyptic number.

It is an amenable number.

100110221219993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110221219993 is an equidigital number, since it uses as much as digits as its factorization.

100110221219993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 41.

The spelling of 100110221219993 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, two hundred nineteen thousand, nine hundred ninety-three".