100122212221213 has 16 divisors (see below), whose sum is σ = 123244965469696. Its totient is φ = 79206242636160.

The previous prime is 100122212221177. The next prime is 100122212221217. The reversal of 100122212221213 is 312122212221001.

It is a cyclic number.

It is not a de Polignac number, because 100122212221213 - 2¹³ = 100122212213021 is a prime.

It is a super-2 number, since 2×100122212221213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122212221217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78053856 + ... + 79326217.

It is an arithmetic number, because the mean of its divisors is an integer number (7702810341856).

Almost surely, 2^{100122212221213} is an apocalyptic number.

100122212221213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100122212221213 is a deficient number, since it is larger than the sum of its proper divisors (23122753248483).

100122212221213 is a wasteful number, since it uses less digits than its factorization.

100122212221213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157387084.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 100122212221213 its reverse (312122212221001), we get a palindrome (412244424442214).

The spelling of 100122212221213 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred thirteen".