10110101101100 has 432 divisors, whose sum is σ = 31016399510880. Its totient is φ = 2808491212800.

The previous prime is 10110101101081. The next prime is 10110101101123. The reversal of 10110101101100 is 110110101101.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20071532 + ... + 20569068.

It is an arithmetic number, because the mean of its divisors is an integer number (71797221090).

Almost surely, 2^{10110101101100} is an apocalyptic number.

10110101101100 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 10110101101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508199755440).

10110101101100 is an abundant number, since it is smaller than the sum of its proper divisors (20906298409780).

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

10110101101100 is a wasteful number, since it uses less digits than its factorization.

10110101101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497618 (or 497604 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10110101101100 its reverse (110110101101), we get a palindrome (10220211202201).

Subtracting from 10110101101100 its reverse (110110101101), we obtain a palindrome (9999990999999).

It can be divided in two parts, 10110101 and 101100, that added together give a palindrome (10211201).

The spelling of 10110101101100 in words is "ten trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one hundred".