11120110100100 has 108 divisors (see below), whose sum is σ = 34856496094420. Its totient is φ = 2965266662400.

The previous prime is 11120110100089. The next prime is 11120110100111. The reversal of 11120110100100 is 100101102111.

It is an interprime number because it is at equal distance from previous prime (11120110100089) and next prime (11120110100111).

It can be written as a sum of positive squares in 6 ways, for example, as 601037370756 + 10519072729344 = 775266^2 + 3243312^2 .

It is a super-3 number, since 3×11120110100100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30165696 + ... + 30532104.

Almost surely, 2^{11120110100100} is an apocalyptic number.

11120110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120110100100 is an abundant number, since it is smaller than the sum of its proper divisors (23736385994320).

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

11120110100100 is a wasteful number, since it uses less digits than its factorization.

11120110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400150 (or 400140 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11120110100100 its reverse (100101102111), we get a palindrome (11220211202211).

The spelling of 11120110100100 in words is "eleven trillion, one hundred twenty billion, one hundred ten million, one hundred thousand, one hundred".