2001012021112 has 32 divisors (see below), whose sum is σ = 4149707889600. Its totient is φ = 898583359104.

The previous prime is 2001012021103. The next prime is 2001012021163. The reversal of 2001012021112 is 2111202101002.

It is a super-2 number, since 2×2001012021112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2001012021092 and 2001012021101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260002912 + ... + 260010607.

It is an arithmetic number, because the mean of its divisors is an integer number (129678371550).

Almost surely, 2^{2001012021112} is an apocalyptic number.

It is an amenable number.

2001012021112 is an abundant number, since it is smaller than the sum of its proper divisors (2148695868488).

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

2001012021112 is a wasteful number, since it uses less digits than its factorization.

2001012021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520013575 (or 520013571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001012021112 its reverse (2111202101002), we get a palindrome (4112214122114).

The spelling of 2001012021112 in words is "two trillion, one billion, twelve million, twenty-one thousand, one hundred twelve".