100011022220251 has 2 divisors, whose sum is σ = 100011022220252. Its totient is φ = 100011022220250.

The previous prime is 100011022220143. The next prime is 100011022220257. The reversal of 100011022220251 is 152022220110001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100011022220251 - 2¹⁷ = 100011022089179 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011022220257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005511110125 + 50005511110126.

It is an arithmetic number, because the mean of its divisors is an integer number (50005511110126).

Almost surely, 2^{100011022220251} is an apocalyptic number.

100011022220251 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011022220251 is an equidigital number, since it uses as much as digits as its factorization.

100011022220251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 100011022220251 its reverse (152022220110001), we get a palindrome (252033242330252).

The spelling of 100011022220251 in words is "one hundred trillion, eleven billion, twenty-two million, two hundred twenty thousand, two hundred fifty-one".