2001021000012 has 36 divisors (see below), whose sum is σ = 5278055393520. Its totient is φ = 638006695392.

The previous prime is 2001020999993. The next prime is 2001021000023. The reversal of 2001021000012 is 2100001201002.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001020999958 and 2001021000003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1208345187 + ... + 1208346842.

It is an arithmetic number, because the mean of its divisors is an integer number (146612649820).

Almost surely, 2^{2001021000012} is an apocalyptic number.

It is an amenable number.

2001021000012 is an abundant number, since it is smaller than the sum of its proper divisors (3277034393508).

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

2001021000012 is a wasteful number, since it uses less digits than its factorization.

2001021000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416692062 (or 2416692057 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001021000012 its reverse (2100001201002), we get a palindrome (4101022201014).

The spelling of 2001021000012 in words is "two trillion, one billion, twenty-one million, twelve", and thus it is an aban number and an uban number.