120121122100110 has 128 divisors (see below), whose sum is σ = 305400997085184. Its totient is φ = 30133036093440.

The previous prime is 120121122100079. The next prime is 120121122100117. The reversal of 120121122100110 is 11001221121021.

It is a happy number.

120121122100110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120121122100110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121122100117) 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, 14220561907 + ... + 14220570353.

It is an arithmetic number, because the mean of its divisors is an integer number (2385945289728).

Almost surely, 2^{120121122100110} is an apocalyptic number.

120121122100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120121122100110 is an abundant number, since it is smaller than the sum of its proper divisors (185279874985074).

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

120121122100110 is a wasteful number, since it uses less digits than its factorization.

120121122100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19058.

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

Adding to 120121122100110 its reverse (11001221121021), we get a palindrome (131122343221131).

The spelling of 120121122100110 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, one hundred ten".