2011021012001 has 2 divisors, whose sum is σ = 2011021012002. Its totient is φ = 2011021012000.

The previous prime is 2011021011943. The next prime is 2011021012037. The reversal of 2011021012001 is 1002101201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1862198661376 + 148822350625 = 1364624^2 + 385775^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011021012001 - 2³⁴ = 1993841142817 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011021012061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005510506000 + 1005510506001.

It is an arithmetic number, because the mean of its divisors is an integer number (1005510506001).

Almost surely, 2^{2011021012001} is an apocalyptic number.

It is an amenable number.

2011021012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011021012001 is an equidigital number, since it uses as much as digits as its factorization.

2011021012001 is an evil number, because the sum of its binary digits is even.

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

Adding to 2011021012001 its reverse (1002101201102), we get a palindrome (3013122213103).

The spelling of 2011021012001 in words is "two trillion, eleven billion, twenty-one million, twelve thousand, one".