120001330020100 has 72 divisors (see below), whose sum is σ = 260802195794280. Its totient is φ = 47926982737920.

The previous prime is 120001330020071. The next prime is 120001330020157. The reversal of 120001330020100 is 1020033100021.

It can be written as a sum of positive squares in 12 ways, for example, as 97345691097664 + 22655638922436 = 9866392^2 + 4759794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171125392 + ... + 171825208.

It is an arithmetic number, because the mean of its divisors is an integer number (3622252719365).

Almost surely, 2^{120001330020100} is an apocalyptic number.

120001330020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001330020100 is an abundant number, since it is smaller than the sum of its proper divisors (140800865774180).

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

120001330020100 is a wasteful number, since it uses less digits than its factorization.

120001330020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702457 (or 702450 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 120001330020100 its reverse (1020033100021), we get a palindrome (121021363120121).

The spelling of 120001330020100 in words is "one hundred twenty trillion, one billion, three hundred thirty million, twenty thousand, one hundred".