10220210000112 has 480 divisors, whose sum is σ = 33592216817664. Its totient is φ = 2657752473600.

The previous prime is 10220210000111. The next prime is 10220210000149. The reversal of 10220210000112 is 21100001202201.

10220210000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220210000111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2951257293 + ... + 2951260755.

Almost surely, 2^{10220210000112} is an apocalyptic number.

10220210000112 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 10220210000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796108408832).

10220210000112 is an abundant number, since it is smaller than the sum of its proper divisors (23372006817552).

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

10220210000112 is a wasteful number, since it uses less digits than its factorization.

10220210000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220210000112 its reverse (21100001202201), we get a palindrome (31320211202313).

The spelling of 10220210000112 in words is "ten trillion, two hundred twenty billion, two hundred ten million, one hundred twelve", and thus it is an aban number.