120021110011110 has 768 divisors, whose sum is σ = 374573755745280. Its totient is φ = 24330668544000.

The previous prime is 120021110011093. The next prime is 120021110011181. The reversal of 120021110011110 is 11110011120021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 97657533976 + ... + 97657535204.

It is an arithmetic number, because the mean of its divisors is an integer number (487726244460).

Almost surely, 2^{120021110011110} is an apocalyptic number.

120021110011110 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 120021110011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187286877872640).

120021110011110 is an abundant number, since it is smaller than the sum of its proper divisors (254552645734170).

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

120021110011110 is a wasteful number, since it uses less digits than its factorization.

120021110011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 120021110011110 its reverse (11110011120021), we get a palindrome (131131121131131).

The spelling of 120021110011110 in words is "one hundred twenty trillion, twenty-one billion, one hundred ten million, eleven thousand, one hundred ten".