2102102112022 has 16 divisors (see below), whose sum is σ = 3459020241600. Its totient is φ = 950162964040.

The previous prime is 2102102112013. The next prime is 2102102112031. The reversal of 2102102112022 is 2202112012012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2102102112013) and next prime (2102102112031).

It is a junction number, because it is equal to n+sod(n) for n = 2102102111987 and 2102102112005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 266895772 + ... + 266903647.

It is an arithmetic number, because the mean of its divisors is an integer number (216188765100).

Almost surely, 2^{2102102112022} is an apocalyptic number.

2102102112022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102102112022 is a deficient number, since it is larger than the sum of its proper divisors (1356918129578).

2102102112022 is a wasteful number, since it uses less digits than its factorization.

2102102112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533799611.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102102112022 its reverse (2202112012012), we get a palindrome (4304214124034).

It can be divided in two parts, 210210 and 2112022, that added together give a palindrome (2322232).

The spelling of 2102102112022 in words is "two trillion, one hundred two billion, one hundred two million, one hundred twelve thousand, twenty-two".