120110010010000 has 100 divisors (see below), whose sum is σ = 291136897308400. Its totient is φ = 47988070416000.

The previous prime is 120110010009961. The next prime is 120110010010061. The reversal of 120110010010000 is 10010011021.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1598731 + ... + 15581269.

It is an arithmetic number, because the mean of its divisors is an integer number (2911368973084).

Almost surely, 2^{120110010010000} is an apocalyptic number.

120110010010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145568448654200).

120110010010000 is an abundant number, since it is smaller than the sum of its proper divisors (171026887298400).

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

120110010010000 is an equidigital number, since it uses as much as digits as its factorization.

120110010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983426 (or 13983405 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 120110010010000 its reverse (10010011021), we get a palindrome (120120020021021).

The spelling of 120110010010000 in words is "one hundred twenty trillion, one hundred ten billion, ten million, ten thousand".