10022010212112 has 80 divisors (see below), whose sum is σ = 26386803190080. Its totient is φ = 3276630130176.

The previous prime is 10022010212069. The next prime is 10022010212141. The reversal of 10022010212112 is 21121201022001.

It is a super-3 number, since 3×10022010212112³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022010212091 and 10022010212100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7686498 + ... + 8895294.

It is an arithmetic number, because the mean of its divisors is an integer number (329835039876).

Almost surely, 2^{10022010212112} is an apocalyptic number.

10022010212112 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 10022010212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193401595040).

10022010212112 is an abundant number, since it is smaller than the sum of its proper divisors (16364792977968).

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

10022010212112 is a wasteful number, since it uses less digits than its factorization.

10022010212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212120 (or 1212114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10022010212112 its reverse (21121201022001), we get a palindrome (31143211234113).

The spelling of 10022010212112 in words is "ten trillion, twenty-two billion, ten million, two hundred twelve thousand, one hundred twelve".