10212220110112 has 48 divisors (see below), whose sum is σ = 20497454143992. Its totient is φ = 5006637875200.

The previous prime is 10212220110101. The next prime is 10212220110179. The reversal of 10212220110112 is 21101102221201.

It can be written as a sum of positive squares in 4 ways, for example, as 9047366157456 + 1164853952656 = 3007884^2 + 1079284^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 834798 + ... + 4595794.

Almost surely, 2^{10212220110112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212220110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10248727071996).

10212220110112 is an abundant number, since it is smaller than the sum of its proper divisors (10285234033880).

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

10212220110112 is a wasteful number, since it uses less digits than its factorization.

10212220110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762661 (or 3762653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10212220110112 its reverse (21101102221201), we get a palindrome (31313322331313).

The spelling of 10212220110112 in words is "ten trillion, two hundred twelve billion, two hundred twenty million, one hundred ten thousand, one hundred twelve".