1102202112000 has 384 divisors, whose sum is σ = 4000648579200. Its totient is φ = 267198464000.

The previous prime is 1102202111999. The next prime is 1102202112007. The reversal of 1102202112000 is 2112022011.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (1102202112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8382766 + ... + 8513234.

It is an arithmetic number, because the mean of its divisors is an integer number (10418355675).

Almost surely, 2^{1102202112000} is an apocalyptic number.

1102202112000 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 1102202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000324289600).

1102202112000 is an abundant number, since it is smaller than the sum of its proper divisors (2898446467200).

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

1102202112000 is a wasteful number, since it uses less digits than its factorization.

1102202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130520 (or 130490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1102202112000 its reverse (2112022011), we get a palindrome (1104314134011).

The spelling of 1102202112000 in words is "one trillion, one hundred two billion, two hundred two million, one hundred twelve thousand".