2102112212101 has 4 divisors (see below), whose sum is σ = 2293213322304. Its totient is φ = 1911011101900.

The previous prime is 2102112212077. The next prime is 2102112212111. The reversal of 2102112212101 is 1012122112012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2102112212101 - 2¹⁷ = 2102112081029 is a prime.

It is a super-2 number, since 2×2102112212101² (a number of 25 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 (2102112212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95550555085 + ... + 95550555106.

It is an arithmetic number, because the mean of its divisors is an integer number (573303330576).

Almost surely, 2^{2102112212101} is an apocalyptic number.

It is an amenable number.

2102112212101 is a deficient number, since it is larger than the sum of its proper divisors (191101110203).

2102112212101 is a wasteful number, since it uses less digits than its factorization.

2102112212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191101110202.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2102112212101 its reverse (1012122112012), we get a palindrome (3114234324113).

The spelling of 2102112212101 in words is "two trillion, one hundred two billion, one hundred twelve million, two hundred twelve thousand, one hundred one".