1102012100000 has 288 divisors, whose sum is σ = 3104220817152. Its totient is φ = 377222400000.

The previous prime is 1102012099999. The next prime is 1102012100149. The reversal of 1102012100000 is 12102011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 744099260 + ... + 744100740.

It is an arithmetic number, because the mean of its divisors is an integer number (10778544504).

Almost surely, 2^{1102012100000} is an apocalyptic number.

1102012100000 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 1102012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552110408576).

1102012100000 is an abundant number, since it is smaller than the sum of its proper divisors (2002208717152).

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

1102012100000 is an equidigital number, since it uses as much as digits as its factorization.

1102012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1102012100000 its reverse (12102011), we get a palindrome (1102024202011).

The spelling of 1102012100000 in words is "one trillion, one hundred two billion, twelve million, one hundred thousand".