212311133201100 has 288 divisors, whose sum is σ = 652612880102400. Its totient is φ = 53106646118400.

The previous prime is 212311133201047. The next prime is 212311133201129. The reversal of 212311133201100 is 1102331113212.

It is a super-2 number, since 2×212311133201100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2187846381 + ... + 2187943419.

It is an arithmetic number, because the mean of its divisors is an integer number (2266016944800).

Almost surely, 2^{212311133201100} is an apocalyptic number.

212311133201100 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 212311133201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326306440051200).

212311133201100 is an abundant number, since it is smaller than the sum of its proper divisors (440301746901300).

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

212311133201100 is a wasteful number, since it uses less digits than its factorization.

212311133201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98513 (or 98506 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 212311133201100 its reverse (1102331113212), we get a palindrome (213413464314312).

The spelling of 212311133201100 in words is "two hundred twelve trillion, three hundred eleven billion, one hundred thirty-three million, two hundred one thousand, one hundred".