110101022100000 has 864 divisors, whose sum is σ = 402374412170640. Its totient is φ = 28534947840000.

The previous prime is 110101022099993. The next prime is 110101022100001. The reversal of 110101022100000 is 1220101011.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 100574342312976 + 9526679787024 = 10028676^2 + 3086532^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110101022100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51714898936 + ... + 51714901064.

Almost surely, 2^{110101022100000} is an apocalyptic number.

110101022100000 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 110101022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201187206085320).

110101022100000 is an abundant number, since it is smaller than the sum of its proper divisors (292273390070640).

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

110101022100000 is a wasteful number, since it uses less digits than its factorization.

110101022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110101022100000 its reverse (1220101011), we get a palindrome (110102242201011).

The spelling of 110101022100000 in words is "one hundred ten trillion, one hundred one billion, twenty-two million, one hundred thousand".