1102133032110 has 768 divisors, whose sum is σ = 3651080832000. Its totient is φ = 233165537280.

The previous prime is 1102133032051. The next prime is 1102133032111. The reversal of 1102133032110 is 112303312011.

1102133032110 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 1 + 330 + 321 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102133032111) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2694701586 + ... + 2694701994.

It is an arithmetic number, because the mean of its divisors is an integer number (4754011500).

Almost surely, 2^{1102133032110} is an apocalyptic number.

1102133032110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102133032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825540416000).

1102133032110 is an abundant number, since it is smaller than the sum of its proper divisors (2548947799890).

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

1102133032110 is a wasteful number, since it uses less digits than its factorization.

1102133032110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1102133032110 its reverse (112303312011), we get a palindrome (1214436344121).

The spelling of 1102133032110 in words is "one trillion, one hundred two billion, one hundred thirty-three million, thirty-two thousand, one hundred ten".