2001210111120 has 320 divisors, whose sum is σ = 6985989939456. Its totient is φ = 469629296640.

The previous prime is 2001210111091. The next prime is 2001210111133. The reversal of 2001210111120 is 211110121002.

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 = 2001210111096 and 2001210111105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19190962 + ... + 19294958.

Almost surely, 2^{2001210111120} is an apocalyptic number.

2001210111120 is a gapful number since it is divisible by the number (20) 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 2001210111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492994969728).

2001210111120 is an abundant number, since it is smaller than the sum of its proper divisors (4984779828336).

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

2001210111120 is a wasteful number, since it uses less digits than its factorization.

2001210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104258 (or 104252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2001210111120 its reverse (211110121002), we get a palindrome (2212320232122).

The spelling of 2001210111120 in words is "two trillion, one billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".