10111002221112 has 256 divisors, whose sum is σ = 29152255104000. Its totient is φ = 2894837342208.

The previous prime is 10111002221053. The next prime is 10111002221113. The reversal of 10111002221112 is 21112220011101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10111002221091 and 10111002221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111002221113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164218189 + ... + 164279747.

It is an arithmetic number, because the mean of its divisors is an integer number (113875996500).

Almost surely, 2^{10111002221112} is an apocalyptic number.

10111002221112 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 10111002221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14576127552000).

10111002221112 is an abundant number, since it is smaller than the sum of its proper divisors (19041252882888).

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

10111002221112 is a wasteful number, since it uses less digits than its factorization.

10111002221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61950 (or 61946 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111002221112 its reverse (21112220011101), we get a palindrome (31223222232213).

The spelling of 10111002221112 in words is "ten trillion, one hundred eleven billion, two million, two hundred twenty-one thousand, one hundred twelve".