2101112000010 has 48 divisors (see below), whose sum is σ = 5784237745416. Its totient is φ = 527337913344.

The previous prime is 2101111999949. The next prime is 2101112000011. The reversal of 2101112000010 is 100002111012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1256508725481 + 844603274529 = 1120941^2 + 919023^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101111999956 and 2101112000001.

It is not an unprimeable number, because it can be changed into a prime (2101112000011) 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 23 ways as a sum of consecutive naturals, for example, 686636379 + ... + 686639438.

Almost surely, 2^{2101112000010} is an apocalyptic number.

2101112000010 is an abundant number, since it is smaller than the sum of its proper divisors (3683125745406).

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

2101112000010 is a wasteful number, since it uses less digits than its factorization.

2101112000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373275847 (or 1373275844 counting only the distinct ones).

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

Adding to 2101112000010 its reverse (100002111012), we get a palindrome (2201114111022).

The spelling of 2101112000010 in words is "two trillion, one hundred one billion, one hundred twelve million, ten", and thus it is an aban number.