10212100112 has 40 divisors (see below), whose sum is σ = 19881607704. Its totient is φ = 5081416704.

The previous prime is 10212100079. The next prime is 10212100117. The reversal of 10212100112 is 21100121201.

It can be written as a sum of positive squares in 4 ways, for example, as 8281728016 + 1930372096 = 91004^2 + 43936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10212100093 and 10212100102.

It is not an unprimeable number, because it can be changed into a prime (10212100117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5122988 + ... + 5124980.

Almost surely, 2^10212100112 is an apocalyptic number.

It is an amenable number.

10212100112 is a deficient number, since it is larger than the sum of its proper divisors (9669507592).

10212100112 is a wasteful number, since it uses less digits than its factorization.

10212100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10212100112 its reverse (21100121201), we get a palindrome (31312221313).

The spelling of 10212100112 in words is "ten billion, two hundred twelve million, one hundred thousand, one hundred twelve".