2212002101001 has 64 divisors (see below), whose sum is σ = 3714562768896. Its totient is φ = 1137389664000.

The previous prime is 2212002100991. The next prime is 2212002101011. The reversal of 2212002101001 is 1001012002122.

It is an interprime number because it is at equal distance from previous prime (2212002100991) and next prime (2212002101011).

It is not a de Polignac number, because 2212002101001 - 2¹¹ = 2212002098953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2212002101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96275551 + ... + 96298523.

It is an arithmetic number, because the mean of its divisors is an integer number (58040043264).

Almost surely, 2^{2212002101001} is an apocalyptic number.

2212002101001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2212002101001 is a deficient number, since it is larger than the sum of its proper divisors (1502560667895).

2212002101001 is a wasteful number, since it uses less digits than its factorization.

2212002101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27222.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2212002101001 its reverse (1001012002122), we get a palindrome (3213014103123).

The spelling of 2212002101001 in words is "two trillion, two hundred twelve billion, two million, one hundred one thousand, one".