120120101020 has 48 divisors (see below), whose sum is σ = 266110054560. Its totient is φ = 45419526144.

The previous prime is 120120100979. The next prime is 120120101041. The reversal of 120120101020 is 20101021021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120120100988 and 120120101006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 172189 + ... + 519508.

It is an arithmetic number, because the mean of its divisors is an integer number (5543959470).

Almost surely, 2^120120101020 is an apocalyptic number.

120120101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120101020 is an abundant number, since it is smaller than the sum of its proper divisors (145989953540).

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

120120101020 is a wasteful number, since it uses less digits than its factorization.

120120101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692182 (or 692180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120120101020 its reverse (20101021021), we get a palindrome (140221122041).

The spelling of 120120101020 in words is "one hundred twenty billion, one hundred twenty million, one hundred one thousand, twenty".