212102110112200 has 384 divisors, whose sum is σ = 621475948707840. Its totient is φ = 65395324800000.

The previous prime is 212102110112161. The next prime is 212102110112213. The reversal of 212102110112200 is 2211011201212.

It is a super-2 number, since 2×212102110112200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1715544385 + ... + 1715668015.

It is an arithmetic number, because the mean of its divisors is an integer number (1618426949760).

Almost surely, 2^{212102110112200} is an apocalyptic number.

212102110112200 is a gapful number since it is divisible by the number (20) 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 212102110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310737974353920).

212102110112200 is an abundant number, since it is smaller than the sum of its proper divisors (409373838595640).

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

212102110112200 is a wasteful number, since it uses less digits than its factorization.

212102110112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124869 (or 124860 counting only the distinct ones).

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

Adding to 212102110112200 its reverse (2211011201212), we get a palindrome (214313121313412).

It can be divided in two parts, 2121021 and 10112200, that added together give a palindrome (12233221).

The spelling of 212102110112200 in words is "two hundred twelve trillion, one hundred two billion, one hundred ten million, one hundred twelve thousand, two hundred".