110101233000000 has 784 divisors, whose sum is σ = 407975769093312. Its totient is φ = 25969536000000.

The previous prime is 110101232999987. The next prime is 110101233000013. The reversal of 110101233000000 is 332101011.

It is an interprime number because it is at equal distance from previous prime (110101232999987) and next prime (110101233000013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 110101233000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1220954914 + ... + 1221045086.

Almost surely, 2^{110101233000000} is an apocalyptic number.

110101233000000 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 110101233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203987884546656).

110101233000000 is an abundant number, since it is smaller than the sum of its proper divisors (297874536093312).

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

110101233000000 is an frugal number, since it uses more digits than its factorization.

110101233000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90266 (or 90231 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110101233000000 its reverse (332101011), we get a palindrome (110101565101011).

The spelling of 110101233000000 in words is "one hundred ten trillion, one hundred one billion, two hundred thirty-three million", and thus it is an aban number.