101110101100000 has 288 divisors, whose sum is σ = 256020259904640. Its totient is φ = 39282492480000.

The previous prime is 101110101099881. The next prime is 101110101100007. The reversal of 101110101100000 is 1101011101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110101100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769634319 + ... + 769765681.

It is an arithmetic number, because the mean of its divisors is an integer number (888959235780).

Almost surely, 2^{101110101100000} is an apocalyptic number.

101110101100000 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 101110101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128010129952320).

101110101100000 is an abundant number, since it is smaller than the sum of its proper divisors (154910158804640).

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

101110101100000 is an equidigital number, since it uses as much as digits as its factorization.

101110101100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131620 (or 131592 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101110101100000 its reverse (1101011101), we get a palindrome (101111202111101).

The spelling of 101110101100000 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, one hundred thousand".