2011010210001 has 48 divisors (see below), whose sum is σ = 3156586008576. Its totient is φ = 1226353177728.

The previous prime is 2011010209981. The next prime is 2011010210009. The reversal of 2011010210001 is 1000120101102.

It is a happy number.

It is not a de Polignac number, because 2011010210001 - 2¹⁸ = 2011009947857 is a prime.

It is a super-2 number, since 2×2011010210001² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2011010210009) 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 47 ways as a sum of consecutive naturals, for example, 12595396 + ... + 12754058.

It is an arithmetic number, because the mean of its divisors is an integer number (65762208512).

Almost surely, 2^{2011010210001} is an apocalyptic number.

It is an amenable number.

2011010210001 is a deficient number, since it is larger than the sum of its proper divisors (1145575798575).

2011010210001 is a wasteful number, since it uses less digits than its factorization.

2011010210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159662 (or 159659 counting only the distinct ones).

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

Adding to 2011010210001 its reverse (1000120101102), we get a palindrome (3011130311103).

The spelling of 2011010210001 in words is "two trillion, eleven billion, ten million, two hundred ten thousand, one".