2211010101001 has 16 divisors (see below), whose sum is σ = 2426355778896. Its totient is φ = 2002142128896.

The previous prime is 2211010100989. The next prime is 2211010101049. The reversal of 2211010101001 is 1001010101122.

It can be written as a sum of positive squares in 8 ways, for example, as 485927497225 + 1725082603776 = 697085^2 + 1313424^2 .

It is not a de Polignac number, because 2211010101001 - 2³⁵ = 2176650362633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211010101061) 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 15 ways as a sum of consecutive naturals, for example, 4747311 + ... + 5192203.

It is an arithmetic number, because the mean of its divisors is an integer number (151647236181).

Almost surely, 2^{2211010101001} is an apocalyptic number.

It is an amenable number.

2211010101001 is a deficient number, since it is larger than the sum of its proper divisors (215345677895).

2211010101001 is a wasteful number, since it uses less digits than its factorization.

2211010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452172.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2211010101001 its reverse (1001010101122), we get a palindrome (3212020202123).

The spelling of 2211010101001 in words is "two trillion, two hundred eleven billion, ten million, one hundred one thousand, one".