100001220120120 has 128 divisors (see below), whose sum is σ = 329775016538880. Its totient is φ = 24057661056000.

The previous prime is 100001220120103. The next prime is 100001220120143. The reversal of 100001220120120 is 21021022100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100001220120096 and 100001220120105.

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, 288981661 + ... + 289327500.

It is an arithmetic number, because the mean of its divisors is an integer number (2576367316710).

Almost surely, 2^{100001220120120} is an apocalyptic number.

100001220120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001220120120 is an abundant number, since it is smaller than the sum of its proper divisors (229773796418760).

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

100001220120120 is a wasteful number, since it uses less digits than its factorization.

100001220120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578309317 (or 578309313 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100001220120120 its reverse (21021022100001), we get a palindrome (121022242220121).

The spelling of 100001220120120 in words is "one hundred trillion, one billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".