110001102122100 has 576 divisors, whose sum is σ = 382833929060352. Its totient is φ = 23857383168000.

The previous prime is 110001102122033. The next prime is 110001102122111. The reversal of 110001102122100 is 1221201100011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1258795009 + ... + 1258882391.

It is an arithmetic number, because the mean of its divisors is an integer number (664642237952).

Almost surely, 2^{110001102122100} is an apocalyptic number.

110001102122100 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 110001102122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191416964530176).

110001102122100 is an abundant number, since it is smaller than the sum of its proper divisors (272832826938252).

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

110001102122100 is a wasteful number, since it uses less digits than its factorization.

110001102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87816 (or 87809 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110001102122100 its reverse (1221201100011), we get a palindrome (111222303222111).

The spelling of 110001102122100 in words is "one hundred ten trillion, one billion, one hundred two million, one hundred twenty-two thousand, one hundred".