110000011010010 has 128 divisors (see below), whose sum is σ = 291684166179840. Its totient is φ = 26326017868800.

The previous prime is 110000011009991. The next prime is 110000011010011. The reversal of 110000011010010 is 10010110000011.

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

It is not an unprimeable number, because it can be changed into a prime (110000011010011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35802381 + ... + 38753199.

It is an arithmetic number, because the mean of its divisors is an integer number (2278782548280).

Almost surely, 2^{110000011010010} is an apocalyptic number.

110000011010010 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 110000011010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145842083089920).

110000011010010 is an abundant number, since it is smaller than the sum of its proper divisors (181684155169830).

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

110000011010010 is a wasteful number, since it uses less digits than its factorization.

110000011010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952284.

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

Adding to 110000011010010 its reverse (10010110000011), we get a palindrome (120010121010021).

The spelling of 110000011010010 in words is "one hundred ten trillion, eleven million, ten thousand, ten".