2102112112010 has 8 divisors (see below), whose sum is σ = 3783801801636. Its totient is φ = 840844844800.

The previous prime is 2102112112003. The next prime is 2102112112013. The reversal of 2102112112010 is 102112112012.

It can be written as a sum of positive squares in 2 ways, for example, as 1704123987241 + 397988124769 = 1305421^2 + 630863^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (2102112112013) 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, 105105605591 + ... + 105105605610.

Almost surely, 2^{2102112112010} is an apocalyptic number.

2102112112010 is a deficient number, since it is larger than the sum of its proper divisors (1681689689626).

2102112112010 is a wasteful number, since it uses less digits than its factorization.

2102112112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210211211208.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2102112112010 its reverse (102112112012), we get a palindrome (2204224224022).

It can be divided in two parts, 2102112 and 112010, that added together give a palindrome (2214122).

The spelling of 2102112112010 in words is "two trillion, one hundred two billion, one hundred twelve million, one hundred twelve thousand, ten".