110121102122010 has 128 divisors (see below), whose sum is σ = 319864727347200. Its totient is φ = 23686152029184.

The previous prime is 110121102121949. The next prime is 110121102122011. The reversal of 110121102122010 is 10221201121011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (110121102122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20038927 + ... + 24935933.

It is an arithmetic number, because the mean of its divisors is an integer number (2498943182400).

Almost surely, 2^{110121102122010} is an apocalyptic number.

110121102122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121102122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159932363673600).

110121102122010 is an abundant number, since it is smaller than the sum of its proper divisors (209743625225190).

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

110121102122010 is a wasteful number, since it uses less digits than its factorization.

110121102122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903340.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110121102122010 its reverse (10221201121011), we get a palindrome (120342303243021).

The spelling of 110121102122010 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand, ten".