1102199270400 has 660 divisors, whose sum is σ = 4321529830728. Its totient is φ = 276621557760.

The previous prime is 1102199270387. The next prime is 1102199270401. The reversal of 1102199270400 is 40729912011.

1102199270400 is a `hidden beast` number, since 1 + 10 + 219 + 9 + 27 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1102199270401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35235567 + ... + 35266833.

Almost surely, 2^{1102199270400} is an apocalyptic number.

1102199270400 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 1102199270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160764915364).

1102199270400 is an abundant number, since it is smaller than the sum of its proper divisors (3219330560328).

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

1102199270400 is a wasteful number, since it uses less digits than its factorization.

1102199270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31326 (or 31294 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1102199270400 in words is "one trillion, one hundred two billion, one hundred ninety-nine million, two hundred seventy thousand, four hundred".