212102012233100 has 144 divisors (see below), whose sum is σ = 509348565605376. Its totient is φ = 76021910880000.

The previous prime is 212102012233093. The next prime is 212102012233103. The reversal of 212102012233100 is 1332210201212.

It is a super-2 number, since 2×212102012233100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212102012233103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20494787 + ... + 29055813.

It is an arithmetic number, because the mean of its divisors is an integer number (3537142816704).

Almost surely, 2^{212102012233100} is an apocalyptic number.

212102012233100 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 212102012233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254674282802688).

212102012233100 is an abundant number, since it is smaller than the sum of its proper divisors (297246553372276).

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

212102012233100 is a wasteful number, since it uses less digits than its factorization.

212102012233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8561376 (or 8561369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212102012233100 its reverse (1332210201212), we get a palindrome (213434222434312).

The spelling of 212102012233100 in words is "two hundred twelve trillion, one hundred two billion, twelve million, two hundred thirty-three thousand, one hundred".