100221002093 has 2 divisors, whose sum is σ = 100221002094. Its totient is φ = 100221002092.

The previous prime is 100221002029. The next prime is 100221002107. The reversal of 100221002093 is 390200122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61788536329 + 38432465764 = 248573^2 + 196042^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221002093 - 2⁶ = 100221002029 is a prime.

It is a super-2 number, since 2×100221002093² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110501046 + 50110501047.

It is an arithmetic number, because the mean of its divisors is an integer number (50110501047).

Almost surely, 2^100221002093 is an apocalyptic number.

It is an amenable number.

100221002093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221002093 is an equidigital number, since it uses as much as digits as its factorization.

100221002093 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 20.

Adding to 100221002093 its reverse (390200122001), we get a palindrome (490421124094).

The spelling of 100221002093 in words is "one hundred billion, two hundred twenty-one million, two thousand, ninety-three".