100222101222001 has 48 divisors (see below), whose sum is σ = 113637182206464. Its totient is φ = 88275646800000.

The previous prime is 100222101221969. The next prime is 100222101222091.

It is a happy number.

100222101222001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100222101222001 - 2⁵ = 100222101221969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222101222091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5686996876 + ... + 5687014498.

It is an arithmetic number, because the mean of its divisors is an integer number (2367441295968).

Almost surely, 2^{100222101222001} is an apocalyptic number.

100222101222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222101222001 is a deficient number, since it is larger than the sum of its proper divisors (13415080984463).

100222101222001 is a wasteful number, since it uses less digits than its factorization.

100222101222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27694 (or 27683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10022210 and 1222001, that added together give a palindrome (11244211).

The spelling of 100222101222001 in words is "one hundred trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, one".