1112102101100 has 72 divisors (see below), whose sum is σ = 2427606498240. Its totient is φ = 442198393920.

The previous prime is 1112102101087. The next prime is 1112102101111. The reversal of 1112102101100 is 11012012111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59185907 + ... + 59204693.

It is an arithmetic number, because the mean of its divisors is an integer number (33716756920).

Almost surely, 2^{1112102101100} is an apocalyptic number.

1112102101100 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 1112102101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213803249120).

1112102101100 is an abundant number, since it is smaller than the sum of its proper divisors (1315504397140).

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

1112102101100 is a wasteful number, since it uses less digits than its factorization.

1112102101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22287 (or 22280 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1112102101100 its reverse (11012012111), we get a palindrome (1123114113211).

The spelling of 1112102101100 in words is "one trillion, one hundred twelve billion, one hundred two million, one hundred one thousand, one hundred".