100022111112011 has 8 divisors (see below), whose sum is σ = 109402932763200. Its totient is φ = 90689273204040.

The previous prime is 100022111111999. The next prime is 100022111112017. The reversal of 100022111112011 is 110211111220001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022111112011 is a prime.

It is a super-2 number, since 2×100022111112011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022111112017) 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, 11995931441 + ... + 11995939778.

It is an arithmetic number, because the mean of its divisors is an integer number (13675366595400).

Almost surely, 2^{100022111112011} is an apocalyptic number.

100022111112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100022111112011 is a deficient number, since it is larger than the sum of its proper divisors (9380821651189).

100022111112011 is a wasteful number, since it uses less digits than its factorization.

100022111112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23991871609.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100022111112011 its reverse (110211111220001), we get a palindrome (210233222332012).

The spelling of 100022111112011 in words is "one hundred trillion, twenty-two billion, one hundred eleven million, one hundred twelve thousand, eleven".