100122221988233 has 2 divisors, whose sum is σ = 100122221988234. Its totient is φ = 100122221988232.

The previous prime is 100122221988109. The next prime is 100122221988247. The reversal of 100122221988233 is 332889122221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99612615894544 + 509606093689 = 9980612^2 + 713867^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122221988233 - 2³⁰ = 100121148246409 is a prime.

It is a super-2 number, since 2×100122221988233² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100122221958233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061110994116 + 50061110994117.

It is an arithmetic number, because the mean of its divisors is an integer number (50061110994117).

Almost surely, 2^{100122221988233} is an apocalyptic number.

It is an amenable number.

100122221988233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122221988233 is an equidigital number, since it uses as much as digits as its factorization.

100122221988233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 100122221988233 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty-one million, nine hundred eighty-eight thousand, two hundred thirty-three".