100222113001213 has 16 divisors (see below), whose sum is σ = 115834091040000. Its totient is φ = 84933894494592.

The previous prime is 100222113001181. The next prime is 100222113001237. The reversal of 100222113001213 is 312100311222001.

It is a cyclic number.

It is not a de Polignac number, because 100222113001213 - 2⁵ = 100222113001181 is a prime.

It is a super-2 number, since 2×100222113001213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222113001513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4293063 + ... + 14794411.

It is an arithmetic number, because the mean of its divisors is an integer number (7239630690000).

Almost surely, 2^{100222113001213} is an apocalyptic number.

It is an amenable number.

100222113001213 is a deficient number, since it is larger than the sum of its proper divisors (15611978038787).

100222113001213 is a wasteful number, since it uses less digits than its factorization.

100222113001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516764.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100222113001213 its reverse (312100311222001), we get a palindrome (412322424223214).

The spelling of 100222113001213 in words is "one hundred trillion, two hundred twenty-two billion, one hundred thirteen million, one thousand, two hundred thirteen".