110010001100010 has 384 divisors, whose sum is σ = 295511973926400. Its totient is φ = 26186515660800.

The previous prime is 110010001100003. The next prime is 110010001100011. The reversal of 110010001100010 is 10001100010011.

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 (110010001100011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30910366611 + ... + 30910370169.

It is an arithmetic number, because the mean of its divisors is an integer number (769562432100).

Almost surely, 2^{110010001100010} is an apocalyptic number.

110010001100010 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 110010001100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147755986963200).

110010001100010 is an abundant number, since it is smaller than the sum of its proper divisors (185501972826390).

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

110010001100010 is a wasteful number, since it uses less digits than its factorization.

110010001100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4307 counting only the distinct ones).

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

Adding to 110010001100010 its reverse (10001100010011), we get a palindrome (120011101110021).

The spelling of 110010001100010 in words is "one hundred ten trillion, ten billion, one million, one hundred thousand, ten".