100122211122221 has 2 divisors, whose sum is σ = 100122211122222. Its totient is φ = 100122211122220.

The previous prime is 100122211122203. The next prime is 100122211122251. The reversal of 100122211122221 is 122221112221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74967111306025 + 25155099816196 = 8658355^2 + 5015486^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122211122221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122211122193 and 100122211122202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122211122251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061105561110 + 50061105561111.

It is an arithmetic number, because the mean of its divisors is an integer number (50061105561111).

Almost surely, 2^{100122211122221} is an apocalyptic number.

It is an amenable number.

100122211122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122211122221 is an equidigital number, since it uses as much as digits as its factorization.

100122211122221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100122211122221 its reverse (122221112221001), we get a palindrome (222343323343222).

The spelling of 100122211122221 in words is "one hundred trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, two hundred twenty-one".