10212122210112 has 168 divisors, whose sum is σ = 30079635726816. Its totient is φ = 3310131723264.

The previous prime is 10212122210089. The next prime is 10212122210113. The reversal of 10212122210112 is 21101222121201.

10212122210112 is a `hidden beast` number, since 10 + 212 + 122 + 210 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212122210113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37094923 + ... + 37369205.

Almost surely, 2^{10212122210112} is an apocalyptic number.

10212122210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212122210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039817863408).

10212122210112 is an abundant number, since it is smaller than the sum of its proper divisors (19867513516704).

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

10212122210112 is a wasteful number, since it uses less digits than its factorization.

10212122210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276085 (or 276072 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10212122210112 its reverse (21101222121201), we get a palindrome (31313344331313).

The spelling of 10212122210112 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".