2212102002101 has 32 divisors (see below), whose sum is σ = 2304704962560. Its totient is φ = 2121782330304.

The previous prime is 2212102002079. The next prime is 2212102002113. The reversal of 2212102002101 is 1012002012122.

It is a cyclic number.

It is not a de Polignac number, because 2212102002101 - 2³⁴ = 2194922132917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212102002301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345799835 + ... + 345806231.

It is an arithmetic number, because the mean of its divisors is an integer number (72022030080).

Almost surely, 2^{2212102002101} is an apocalyptic number.

It is an amenable number.

2212102002101 is a deficient number, since it is larger than the sum of its proper divisors (92602960459).

2212102002101 is a wasteful number, since it uses less digits than its factorization.

2212102002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2212102002101 its reverse (1012002012122), we get a palindrome (3224104014223).

The spelling of 2212102002101 in words is "two trillion, two hundred twelve billion, one hundred two million, two thousand, one hundred one".