120110011100010 has 768 divisors, whose sum is σ = 346365691176960. Its totient is φ = 29898870543360.

The previous prime is 120110011099933. The next prime is 120110011100021. The reversal of 120110011100010 is 10001110011021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120110011099965 and 120110011100001.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 80991240729 + ... + 80991242211.

It is an arithmetic number, because the mean of its divisors is an integer number (450996993720).

Almost surely, 2^{120110011100010} is an apocalyptic number.

120110011100010 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 120110011100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173182845588480).

120110011100010 is an abundant number, since it is smaller than the sum of its proper divisors (226255680076950).

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

120110011100010 is a wasteful number, since it uses less digits than its factorization.

120110011100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 120110011100010 its reverse (10001110011021), we get a palindrome (130111121111031).

The spelling of 120110011100010 in words is "one hundred twenty trillion, one hundred ten billion, eleven million, one hundred thousand, ten".