212102102101 has 16 divisors (see below), whose sum is σ = 220430891520. Its totient is φ = 203940506880.

The previous prime is 212102102099. The next prime is 212102102111. The reversal of 212102102101 is 101201201212.

It is a cyclic number.

It is not a de Polignac number, because 212102102101 - 2¹ = 212102102099 is a prime.

It is a super-2 number, since 2×212102102101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102102111) 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 15 ways as a sum of consecutive naturals, for example, 2361325 + ... + 2449501.

It is an arithmetic number, because the mean of its divisors is an integer number (13776930720).

Almost surely, 2^212102102101 is an apocalyptic number.

It is an amenable number.

212102102101 is a deficient number, since it is larger than the sum of its proper divisors (8328789419).

212102102101 is an equidigital number, since it uses as much as digits as its factorization.

212102102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89124.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212102102101 its reverse (101201201212), we get a palindrome (313303303313).

The spelling of 212102102101 in words is "two hundred twelve billion, one hundred two million, one hundred two thousand, one hundred one".