212130121103100 has 216 divisors, whose sum is σ = 682959630317328. Its totient is φ = 55032798643200.

The previous prime is 212130121103081. The next prime is 212130121103189. The reversal of 212130121103100 is 1301121031212.

212130121103100 is a `hidden beast` number, since 2 + 1 + 21 + 301 + 21 + 10 + 310 + 0 = 666.

It is a super-2 number, since 2×212130121103100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290910960 + ... + 291639240.

It is an arithmetic number, because the mean of its divisors is an integer number (3161850140358).

Almost surely, 2^{212130121103100} is an apocalyptic number.

212130121103100 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 212130121103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341479815158664).

212130121103100 is an abundant number, since it is smaller than the sum of its proper divisors (470829509214228).

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

212130121103100 is a wasteful number, since it uses less digits than its factorization.

212130121103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737085 (or 737075 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212130121103100 its reverse (1301121031212), we get a palindrome (213431242134312).

The spelling of 212130121103100 in words is "two hundred twelve trillion, one hundred thirty billion, one hundred twenty-one million, one hundred three thousand, one hundred".