2011002101001 has 12 divisors (see below), whose sum is σ = 2914242643312. Its totient is φ = 1336301068536.

The previous prime is 2011002100969. The next prime is 2011002101021. The reversal of 2011002101001 is 1001012001102.

It is a happy number.

It is not a de Polignac number, because 2011002101001 - 2⁵ = 2011002100969 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2011002101021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363913651 + ... + 363919176.

Almost surely, 2^{2011002101001} is an apocalyptic number.

It is an amenable number.

2011002101001 is a deficient number, since it is larger than the sum of its proper divisors (903240542311).

2011002101001 is a wasteful number, since it uses less digits than its factorization.

2011002101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727833140 (or 727833137 counting only the distinct ones).

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

Adding to 2011002101001 its reverse (1001012001102), we get a palindrome (3012014102103).

The spelling of 2011002101001 in words is "two trillion, eleven billion, two million, one hundred one thousand, one".