1101100010010 has 512 divisors, whose sum is σ = 3653914779648. Its totient is φ = 204936376320.

The previous prime is 1101100010009. The next prime is 1101100010051. The reversal of 1101100010010 is 100100011011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 492220612 + ... + 492222848.

It is an arithmetic number, because the mean of its divisors is an integer number (7136552304).

Almost surely, 2^{1101100010010} is an apocalyptic number.

1101100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101100010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826957389824).

1101100010010 is an abundant number, since it is smaller than the sum of its proper divisors (2552814769638).

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

1101100010010 is a wasteful number, since it uses less digits than its factorization.

1101100010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101100010010 its reverse (100100011011), we get a palindrome (1201200021021).

The spelling of 1101100010010 in words is "one trillion, one hundred one billion, one hundred million, ten thousand, ten".