2012101201001 has 8 divisors (see below), whose sum is σ = 2023256588808. Its totient is φ = 2000946240000.

The previous prime is 2012101200983. The next prime is 2012101201013. The reversal of 2012101201001 is 1001021012102.

It can be written as a sum of positive squares in 4 ways, for example, as 41730318400 + 1970370882601 = 204280^2 + 1403699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2012101201001 - 2⁶ = 2012101200937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012101201031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16377401 + ... + 16499801.

It is an arithmetic number, because the mean of its divisors is an integer number (252907073601).

Almost surely, 2^{2012101201001} is an apocalyptic number.

It is an amenable number.

2012101201001 is a deficient number, since it is larger than the sum of its proper divisors (11155387807).

2012101201001 is a wasteful number, since it uses less digits than its factorization.

2012101201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213403.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2012101201001 its reverse (1001021012102), we get a palindrome (3013122213103).

The spelling of 2012101201001 in words is "two trillion, twelve billion, one hundred one million, two hundred one thousand, one".