210111021002112 has 256 divisors, whose sum is σ = 574083664358400. Its totient is φ = 68046494515200.

The previous prime is 210111021002027. The next prime is 210111021002117. The reversal of 210111021002112 is 211200120111012.

It is a happy number.

It is a super-2 number, since 2×210111021002112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210111021002091 and 210111021002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210111021002117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10909747939 + ... + 10909767197.

It is an arithmetic number, because the mean of its divisors is an integer number (2242514313900).

Almost surely, 2^{210111021002112} 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 210111021002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287041832179200).

210111021002112 is an abundant number, since it is smaller than the sum of its proper divisors (363972643356288).

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

210111021002112 is a wasteful number, since it uses less digits than its factorization.

210111021002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22145 (or 22133 counting only the distinct ones).

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

Adding to 210111021002112 its reverse (211200120111012), we get a palindrome (421311141113124).

The spelling of 210111021002112 in words is "two hundred ten trillion, one hundred eleven billion, twenty-one million, two thousand, one hundred twelve".