100022111331 has 32 divisors (see below), whose sum is σ = 143891354880. Its totient is φ = 61594444800.

The previous prime is 100022111303. The next prime is 100022111333. The reversal of 100022111331 is 133111220001.

It is a happy number.

It is not a de Polignac number, because 100022111331 - 2¹¹ = 100022109283 is a prime.

It is a super-2 number, since 2×100022111331² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100022111331.

It is not an unprimeable number, because it can be changed into a prime (100022111333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4220491 + ... + 4244123.

It is an arithmetic number, because the mean of its divisors is an integer number (4496604840).

Almost surely, 2^100022111331 is an apocalyptic number.

100022111331 is a deficient number, since it is larger than the sum of its proper divisors (43869243549).

100022111331 is a wasteful number, since it uses less digits than its factorization.

100022111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25507.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100022111331 its reverse (133111220001), we get a palindrome (233133331332).

The spelling of 100022111331 in words is "one hundred billion, twenty-two million, one hundred eleven thousand, three hundred thirty-one".