2112100001010 has 48 divisors (see below), whose sum is σ = 5814487065816. Its totient is φ = 530095686144.

The previous prime is 2112100000987. The next prime is 2112100001017. The reversal of 2112100001010 is 101000012112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1461485148561 + 650614852449 = 1208919^2 + 806607^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2112100000983 and 2112100001001.

It is not an unprimeable number, because it can be changed into a prime (2112100001017) 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 23 ways as a sum of consecutive naturals, for example, 690227229 + ... + 690230288.

Almost surely, 2^{2112100001010} is an apocalyptic number.

2112100001010 is an abundant number, since it is smaller than the sum of its proper divisors (3702387064806).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112100001010 is a wasteful number, since it uses less digits than its factorization.

2112100001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380457547 (or 1380457544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2112100001010 its reverse (101000012112), we get a palindrome (2213100013122).

The spelling of 2112100001010 in words is "two trillion, one hundred twelve billion, one hundred million, one thousand, ten".