1100100022120 has 96 divisors (see below), whose sum is σ = 2721305046600. Its totient is φ = 399947694080.

The previous prime is 1100100022027. The next prime is 1100100022243. The reversal of 1100100022120 is 212200010011.

It can be written as a sum of positive squares in 4 ways, for example, as 892129364676 + 207970657444 = 944526^2 + 456038^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100100022097 and 1100100022106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24220872 + ... + 24266248.

Almost surely, 2^{1100100022120} is an apocalyptic number.

1100100022120 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 1100100022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360652523300).

1100100022120 is an abundant number, since it is smaller than the sum of its proper divisors (1621205024480).

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

1100100022120 is a wasteful number, since it uses less digits than its factorization.

1100100022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50419 (or 50404 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100100022120 its reverse (212200010011), we get a palindrome (1312300032131).

The spelling of 1100100022120 in words is "one trillion, one hundred billion, one hundred million, twenty-two thousand, one hundred twenty".