2001020121120 has 96 divisors (see below), whose sum is σ = 6634961484480. Its totient is φ = 505520870400.

The previous prime is 2001020121047. The next prime is 2001020121127. The reversal of 2001020121120 is 211210201002.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2001020121096 and 2001020121105.

It is not an unprimeable number, because it can be changed into a prime (2001020121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109695931 + ... + 109714170.

It is an arithmetic number, because the mean of its divisors is an integer number (69114182130).

Almost surely, 2^{2001020121120} is an apocalyptic number.

2001020121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001020121120 is an abundant number, since it is smaller than the sum of its proper divisors (4633941363360).

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

2001020121120 is a wasteful number, since it uses less digits than its factorization.

2001020121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219410138 (or 219410130 counting only the distinct ones).

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

Adding to 2001020121120 its reverse (211210201002), we get a palindrome (2212230322122).

The spelling of 2001020121120 in words is "two trillion, one billion, twenty million, one hundred twenty-one thousand, one hundred twenty".