10221212012112 has 80 divisors (see below), whose sum is σ = 29339735232000. Its totient is φ = 3406946282496.

The previous prime is 10221212012093. The next prime is 10221212012117. The reversal of 10221212012112 is 21121021212201.

10221212012112 is a `hidden beast` number, since 10 + 221 + 21 + 201 + 211 + 2 = 666.

10221212012112 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221212012117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11816064 + ... + 12651552.

It is an arithmetic number, because the mean of its divisors is an integer number (366746690400).

Almost surely, 2^{10221212012112} is an apocalyptic number.

10221212012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221212012112 is an abundant number, since it is smaller than the sum of its proper divisors (19118523219888).

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

10221212012112 is a wasteful number, since it uses less digits than its factorization.

10221212012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863825 (or 863813 counting only the distinct ones).

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

Adding to 10221212012112 its reverse (21121021212201), we get a palindrome (31342233224313).

The spelling of 10221212012112 in words is "ten trillion, two hundred twenty-one billion, two hundred twelve million, twelve thousand, one hundred twelve".