2001220101120 has 176 divisors, whose sum is σ = 6573773268288. Its totient is φ = 519235338240.

The previous prime is 2001220101119. The next prime is 2001220101121. The reversal of 2001220101120 is 211010221002.

It is an interprime number because it is at equal distance from previous prime (2001220101119) and next prime (2001220101121).

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 = 2001220101096 and 2001220101105.

It is not an unprimeable number, because it can be changed into a prime (2001220101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192326 + ... + 2328965.

Almost surely, 2^{2001220101120} is an apocalyptic number.

2001220101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001220101120 is an abundant number, since it is smaller than the sum of its proper divisors (4572553167168).

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

2001220101120 is a wasteful number, since it uses less digits than its factorization.

2001220101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521356 (or 3521338 counting only the distinct ones).

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

Adding to 2001220101120 its reverse (211010221002), we get a palindrome (2212230322122).

The spelling of 2001220101120 in words is "two trillion, one billion, two hundred twenty million, one hundred one thousand, one hundred twenty".