2001012021120 has 512 divisors, whose sum is σ = 7355867904000. Its totient is φ = 453219287040.

The previous prime is 2001012021103. The next prime is 2001012021163. The reversal of 2001012021120 is 211202101002.

It is a super-3 number, since 3×2001012021120³ (a number of 38 digits) contains 333 as substring.

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 = 2001012021096 and 2001012021105.

It is a congruent number.

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, 1083384037 + ... + 1083385883.

It is an arithmetic number, because the mean of its divisors is an integer number (14366929500).

Almost surely, 2^{2001012021120} is an apocalyptic number.

2001012021120 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 2001012021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677933952000).

2001012021120 is an abundant number, since it is smaller than the sum of its proper divisors (5354855882880).

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

2001012021120 is a wasteful number, since it uses less digits than its factorization.

2001012021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2554 counting only the distinct ones).

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

Adding to 2001012021120 its reverse (211202101002), we get a palindrome (2212214122122).

The spelling of 2001012021120 in words is "two trillion, one billion, twelve million, twenty-one thousand, one hundred twenty".