11110022120100 has 144 divisors (see below), whose sum is σ = 32230951323200. Its totient is φ = 2954755584000.

The previous prime is 11110022120083. The next prime is 11110022120129. The reversal of 11110022120100 is 102122001111.

It is a super-2 number, since 2×11110022120100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396051075 + ... + 396079125.

Almost surely, 2^{11110022120100} is an apocalyptic number.

11110022120100 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 11110022120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115475661600).

11110022120100 is an abundant number, since it is smaller than the sum of its proper divisors (21120929203100).

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

11110022120100 is a wasteful number, since it uses less digits than its factorization.

11110022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31550 (or 31543 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110022120100 its reverse (102122001111), we get a palindrome (11212144121211).

The spelling of 11110022120100 in words is "eleven trillion, one hundred ten billion, twenty-two million, one hundred twenty thousand, one hundred".