110011000100010 has 768 divisors, whose sum is σ = 297116794303488. Its totient is φ = 26003089981440.

The previous prime is 110011000099961. The next prime is 110011000100039. The reversal of 110011000100010 is 10001000110011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 351472843614 + ... + 351472843926.

It is an arithmetic number, because the mean of its divisors is an integer number (386870825916).

Almost surely, 2^{110011000100010} is an apocalyptic number.

110011000100010 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 110011000100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148558397151744).

110011000100010 is an abundant number, since it is smaller than the sum of its proper divisors (187105794203478).

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

110011000100010 is a wasteful number, since it uses less digits than its factorization.

110011000100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 640 counting only the distinct ones).

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

Adding to 110011000100010 its reverse (10001000110011), we get a palindrome (120012000210021).

The spelling of 110011000100010 in words is "one hundred ten trillion, eleven billion, one hundred thousand, ten".