120120211100110 has 64 divisors (see below), whose sum is σ = 245105886412800. Its totient is φ = 42017364150912.

The previous prime is 120120211100089. The next prime is 120120211100117. The reversal of 120120211100110 is 11001112021021.

It is a happy number.

It is a super-2 number, since 2×120120211100110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120211100117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420347497 + ... + 420633163.

It is an arithmetic number, because the mean of its divisors is an integer number (3829779475200).

Almost surely, 2^{120120211100110} is an apocalyptic number.

120120211100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120120211100110 is an abundant number, since it is smaller than the sum of its proper divisors (124985675312690).

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

120120211100110 is a wasteful number, since it uses less digits than its factorization.

120120211100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455945.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120120211100110 its reverse (11001112021021), we get a palindrome (131121323121131).

The spelling of 120120211100110 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred eleven million, one hundred thousand, one hundred ten".