2212102021101 has 16 divisors (see below), whose sum is σ = 3370864435200. Its totient is φ = 1264042432368.

The previous prime is 2212102021069. The next prime is 2212102021133. The reversal of 2212102021101 is 1011202012122.

2212102021101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2212102021069) and next prime (2212102021133).

It is not a de Polignac number, because 2212102021101 - 2⁵ = 2212102021069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212102023101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169860 + ... + 2406818.

It is an arithmetic number, because the mean of its divisors is an integer number (210679027200).

Almost surely, 2^{2212102021101} is an apocalyptic number.

2212102021101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2212102021101 is a deficient number, since it is larger than the sum of its proper divisors (1158762414099).

2212102021101 is a wasteful number, since it uses less digits than its factorization.

2212102021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322128.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2212102021101 its reverse (1011202012122), we get a palindrome (3223304033223).

The spelling of 2212102021101 in words is "two trillion, two hundred twelve billion, one hundred two million, twenty-one thousand, one hundred one".