1110083921100 has 1296 divisors, whose sum is σ = 4695478220160. Its totient is φ = 222467212800.

The previous prime is 1110083921083. The next prime is 1110083921117. The reversal of 1110083921100 is 11293800111.

It is an interprime number because it is at equal distance from previous prime (1110083921083) and next prime (1110083921117).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1223906847 + ... + 1223907753.

Almost surely, 2^{1110083921100} is an apocalyptic number.

1110083921100 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 1110083921100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347739110080).

1110083921100 is an abundant number, since it is smaller than the sum of its proper divisors (3585394299060).

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

1110083921100 is a wasteful number, since it uses less digits than its factorization.

1110083921100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 1110083921100 in words is "one trillion, one hundred ten billion, eighty-three million, nine hundred twenty-one thousand, one hundred".