120102120201020 has 96 divisors (see below), whose sum is σ = 268663917989376. Its totient is φ = 44942017536000.

The previous prime is 120102120201017. The next prime is 120102120201053. The reversal of 120102120201020 is 20102021201021.

It is a junction number, because it is equal to n+sod(n) for n = 120102120200986 and 120102120201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119564384 + ... + 120564696.

It is an arithmetic number, because the mean of its divisors is an integer number (2798582479056).

Almost surely, 2^{120102120201020} is an apocalyptic number.

120102120201020 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 120102120201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134331958994688).

120102120201020 is an abundant number, since it is smaller than the sum of its proper divisors (148561797788356).

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

120102120201020 is a wasteful number, since it uses less digits than its factorization.

120102120201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002471 (or 1002469 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120102120201020 its reverse (20102021201021), we get a palindrome (140204141402041).

The spelling of 120102120201020 in words is "one hundred twenty trillion, one hundred two billion, one hundred twenty million, two hundred one thousand, twenty".