2012001001101 has 48 divisors (see below), whose sum is σ = 3577219295104. Its totient is φ = 1061177749632.

The previous prime is 2012001001081. The next prime is 2012001001103. The reversal of 2012001001101 is 1011001002102.

It is a happy number.

It is not a de Polignac number, because 2012001001101 - 2⁷ = 2012001000973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012001001103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9284355 + ... + 9498591.

Almost surely, 2^{2012001001101} is an apocalyptic number.

2012001001101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2012001001101 is a deficient number, since it is larger than the sum of its proper divisors (1565218294003).

2012001001101 is a wasteful number, since it uses less digits than its factorization.

2012001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225730 (or 225727 counting only the distinct ones).

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

Adding to 2012001001101 its reverse (1011001002102), we get a palindrome (3023002003203).

The spelling of 2012001001101 in words is "two trillion, twelve billion, one million, one thousand, one hundred one".