100022211120 has 320 divisors, whose sum is σ = 337296161664. Its totient is φ = 24373493760.

The previous prime is 100022211083. The next prime is 100022211137. The reversal of 100022211120 is 21112220001.

It is a super-3 number, since 3×100022211120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100022211096 and 100022211105.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 216967690 + ... + 216968150.

Almost surely, 2^100022211120 is an apocalyptic number.

100022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648080832).

100022211120 is an abundant number, since it is smaller than the sum of its proper divisors (237273950544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100022211120 is a wasteful number, since it uses less digits than its factorization.

100022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022211120 its reverse (21112220001), we get a palindrome (121134431121).

The spelling of 100022211120 in words is "one hundred billion, twenty-two million, two hundred eleven thousand, one hundred twenty".