10002221123112 has 96 divisors (see below), whose sum is σ = 27125902744200. Its totient is φ = 3329577512448.

The previous prime is 10002221123099. The next prime is 10002221123113. The reversal of 10002221123112 is 21132112220001.

It can be written as a sum of positive squares in 4 ways, for example, as 3255765531876 + 6746455591236 = 1804374^2 + 2597394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10002221123113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186258538 + ... + 186312230.

Almost surely, 2^{10002221123112} is an apocalyptic number.

10002221123112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002221123112 is an abundant number, since it is smaller than the sum of its proper divisors (17123681621088).

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

10002221123112 is a wasteful number, since it uses less digits than its factorization.

10002221123112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57147 (or 57140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10002221123112 its reverse (21132112220001), we get a palindrome (31134333343113).

The spelling of 10002221123112 in words is "ten trillion, two billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred twelve".