2012001100101 has 32 divisors (see below), whose sum is σ = 3009424352000. Its totient is φ = 1328438107584.

The previous prime is 2012001100097. The next prime is 2012001100103. The reversal of 2012001100101 is 1010011002102.

It is a happy number.

It is not a de Polignac number, because 2012001100101 - 2² = 2012001100097 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012001100103) 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 31 ways as a sum of consecutive naturals, for example, 6527016 + ... + 6828318.

It is an arithmetic number, because the mean of its divisors is an integer number (94044511000).

Almost surely, 2^{2012001100101} is an apocalyptic number.

It is an amenable number.

2012001100101 is a deficient number, since it is larger than the sum of its proper divisors (997423251899).

2012001100101 is a wasteful number, since it uses less digits than its factorization.

2012001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303690 (or 303684 counting only the distinct ones).

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

Adding to 2012001100101 its reverse (1010011002102), we get a palindrome (3022012102203).

The spelling of 2012001100101 in words is "two trillion, twelve billion, one million, one hundred thousand, one hundred one".