10221211021112 has 192 divisors, whose sum is σ = 25038618474240. Its totient is φ = 3872771481600.

The previous prime is 10221211021093. The next prime is 10221211021127. The reversal of 10221211021112 is 21112011212201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14990162 + ... + 15657182.

It is an arithmetic number, because the mean of its divisors is an integer number (130409471220).

Almost surely, 2^{10221211021112} 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 10221211021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519309237120).

10221211021112 is an abundant number, since it is smaller than the sum of its proper divisors (14817407453128).

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

10221211021112 is a wasteful number, since it uses less digits than its factorization.

10221211021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667182 (or 667171 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10221211021112 its reverse (21112011212201), we get a palindrome (31333222233313).

The spelling of 10221211021112 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, twenty-one thousand, one hundred twelve".