110101100112000 has 384 divisors, whose sum is σ = 397686218220720. Its totient is φ = 29190574080000.

The previous prime is 110101100111983. The next prime is 110101100112001. The reversal of 110101100112000 is 211001101011.

It can be written as a sum of positive squares in 8 ways, for example, as 1699518966336 + 108401581145664 = 1303656^2 + 10411608^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 (110101100112001) 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, 22702200 + ... + 27121800.

Almost surely, 2^{110101100112000} is an apocalyptic number.

110101100112000 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 110101100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198843109110360).

110101100112000 is an abundant number, since it is smaller than the sum of its proper divisors (287585118108720).

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

110101100112000 is a wasteful number, since it uses less digits than its factorization.

110101100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419809 (or 4419784 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110101100112000 its reverse (211001101011), we get a palindrome (110312101213011).

The spelling of 110101100112000 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred twelve thousand".