1102001011200 has 360 divisors, whose sum is σ = 3968019863808. Its totient is φ = 292059095040.

The previous prime is 1102001011193. The next prime is 1102001011261. The reversal of 1102001011200 is 21101002011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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, 18748257 + ... + 18806943.

Almost surely, 2^{1102001011200} is an apocalyptic number.

1102001011200 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 1102001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984009931904).

1102001011200 is an abundant number, since it is smaller than the sum of its proper divisors (2866018852608).

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

1102001011200 is a wasteful number, since it uses less digits than its factorization.

1102001011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58884 (or 58860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1102001011200 its reverse (21101002011), we get a palindrome (1123102013211).

The spelling of 1102001011200 in words is "one trillion, one hundred two billion, one million, eleven thousand, two hundred".