100122211202221 has 8 divisors (see below), whose sum is σ = 107824007995704. Its totient is φ = 92420427014400.

The previous prime is 100122211202213. The next prime is 100122211202267. The reversal of 100122211202221 is 122202112221001.

It can be written as a sum of positive squares in 4 ways, for example, as 6594937299721 + 93527273902500 = 2568061^2 + 9670950^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122211202221 - 2³ = 100122211202213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122211202821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19234305 + ... + 23878921.

It is an arithmetic number, because the mean of its divisors is an integer number (13478000999463).

Almost surely, 2^{100122211202221} is an apocalyptic number.

It is an amenable number.

100122211202221 is a deficient number, since it is larger than the sum of its proper divisors (7701796793483).

100122211202221 is a wasteful number, since it uses less digits than its factorization.

100122211202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302831.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100122211202221 its reverse (122202112221001), we get a palindrome (222324323423222).

The spelling of 100122211202221 in words is "one hundred trillion, one hundred twenty-two billion, two hundred eleven million, two hundred two thousand, two hundred twenty-one".