120102102120100 has 72 divisors (see below), whose sum is σ = 264310570540800. Its totient is φ = 47360932819200.

The previous prime is 120102102120097. The next prime is 120102102120107. The reversal of 120102102120100 is 1021201201021.

It is not an unprimeable number, because it can be changed into a prime (120102102120107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103359136 + ... + 104514664.

It is an arithmetic number, because the mean of its divisors is an integer number (3670980146400).

Almost surely, 2^{120102102120100} is an apocalyptic number.

120102102120100 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 120102102120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132155285270400).

120102102120100 is an abundant number, since it is smaller than the sum of its proper divisors (144208468420700).

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

120102102120100 is a wasteful number, since it uses less digits than its factorization.

120102102120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170253 (or 1170246 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120102102120100 its reverse (1021201201021), we get a palindrome (121123303321121).

The spelling of 120102102120100 in words is "one hundred twenty trillion, one hundred two billion, one hundred two million, one hundred twenty thousand, one hundred".