1102100010112 has 64 divisors (see below), whose sum is σ = 2292795331200. Its totient is φ = 526689839104.

The previous prime is 1102100010073. The next prime is 1102100010113. The reversal of 1102100010112 is 2110100012011.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1102100010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3741228 + ... + 4025044.

It is an arithmetic number, because the mean of its divisors is an integer number (35824927050).

Almost surely, 2^{1102100010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146397665600).

1102100010112 is an abundant number, since it is smaller than the sum of its proper divisors (1190695321088).

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

1102100010112 is a wasteful number, since it uses less digits than its factorization.

1102100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285173 (or 285161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102100010112 its reverse (2110100012011), we get a palindrome (3212200022123).

The spelling of 1102100010112 in words is "one trillion, one hundred two billion, one hundred million, ten thousand, one hundred twelve".