120102102110000 has 200 divisors, whose sum is σ = 291723134714880. Its totient is φ = 47885046048000.

The previous prime is 120102102109933. The next prime is 120102102110021. The reversal of 120102102110000 is 11201201021.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 6909161309 + ... + 6909178691.

Almost surely, 2^{120102102110000} is an apocalyptic number.

120102102110000 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 120102102110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145861567357440).

120102102110000 is an abundant number, since it is smaller than the sum of its proper divisors (171621032604880).

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

120102102110000 is a wasteful number, since it uses less digits than its factorization.

120102102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19613 (or 19592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120102102110000 its reverse (11201201021), we get a palindrome (120113303311021).

The spelling of 120102102110000 in words is "one hundred twenty trillion, one hundred two billion, one hundred two million, one hundred ten thousand".