100221222122001 has 48 divisors (see below), whose sum is σ = 155145145494144. Its totient is φ = 62180137907712.

The previous prime is 100221222121997. The next prime is 100221222122029.

It is a happy number.

100221222122001 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 2 + 221 + 220 + 0 + 1 = 666.

100221222122001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100221222122001 - 2² = 100221222121997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221222126001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300196170 + ... + 300529836.

It is an arithmetic number, because the mean of its divisors is an integer number (3232190531128).

Almost surely, 2^{100221222122001} is an apocalyptic number.

It is an amenable number.

100221222122001 is a deficient number, since it is larger than the sum of its proper divisors (54923923372143).

100221222122001 is a wasteful number, since it uses less digits than its factorization.

100221222122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372950 (or 372947 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

It can be divided in two parts, 100221 and 222122001, that added together give a palindrome (222222222).

The spelling of 100221222122001 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one".