10221002211112 has 128 divisors (see below), whose sum is σ = 24079273344000. Its totient is φ = 3951238786560.

The previous prime is 10221002211089. The next prime is 10221002211131. The reversal of 10221002211112 is 21111220012201.

10221002211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10221002211112³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149550964 + ... + 149619292.

It is an arithmetic number, because the mean of its divisors is an integer number (188119323000).

Almost surely, 2^{10221002211112} 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 10221002211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039636672000).

10221002211112 is an abundant number, since it is smaller than the sum of its proper divisors (13858271132888).

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

10221002211112 is a wasteful number, since it uses less digits than its factorization.

10221002211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70239 (or 70235 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221002211112 its reverse (21111220012201), we get a palindrome (31332222223313).

Subtracting 10221002211112 from its reverse (21111220012201), we obtain a square (10890217801089 = 3300033²).

The spelling of 10221002211112 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred eleven thousand, one hundred twelve".