1102100110120 has 32 divisors (see below), whose sum is σ = 2520376486920. Its totient is φ = 433613157120.

The previous prime is 1102100110109. The next prime is 1102100110129. The reversal of 1102100110120 is 210110012011.

It can be written as a sum of positive squares in 4 ways, for example, as 571145970564 + 530954139556 = 755742^2 + 728666^2 .

It is a super-2 number, since 2×1102100110120² (a number of 25 digits) contains 22 as substring.

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 = 1102100110097 and 1102100110106.

It is not an unprimeable number, because it can be changed into a prime (1102100110129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225837747 + ... + 225842626.

Almost surely, 2^{1102100110120} is an apocalyptic number.

1102100110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102100110120 is an abundant number, since it is smaller than the sum of its proper divisors (1418276376800).

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

1102100110120 is a wasteful number, since it uses less digits than its factorization.

1102100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451680445 (or 451680441 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102100110120 its reverse (210110012011), we get a palindrome (1312210122131).

The spelling of 1102100110120 in words is "one trillion, one hundred two billion, one hundred million, one hundred ten thousand, one hundred twenty".