2012011001001 has 32 divisors (see below), whose sum is σ = 3037718039040. Its totient is φ = 1315720224000.

The previous prime is 2012011000963. The next prime is 2012011001003. The reversal of 2012011001001 is 1001001102102.

It is a happy number.

It is not a de Polignac number, because 2012011001001 - 2¹⁴ = 2012010984617 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2012011001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5947201 + ... + 6276401.

It is an arithmetic number, because the mean of its divisors is an integer number (94928688720).

Almost surely, 2^{2012011001001} is an apocalyptic number.

It is an amenable number.

2012011001001 is a deficient number, since it is larger than the sum of its proper divisors (1025707038039).

2012011001001 is a wasteful number, since it uses less digits than its factorization.

2012011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333534 (or 333528 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2012011001001 its reverse (1001001102102), we get a palindrome (3013012103103).

The spelling of 2012011001001 in words is "two trillion, twelve billion, eleven million, one thousand, one".