212211101021100 has 144 divisors (see below), whose sum is σ = 648103454974080. Its totient is φ = 53611225001280.

The previous prime is 212211101021093. The next prime is 212211101021107. The reversal of 212211101021100 is 1120101112212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212211101021093) and next prime (212211101021107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212211101021100.

It is not an unprimeable number, because it can be changed into a prime (212211101021107) 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, 49507422 + ... + 53622821.

It is an arithmetic number, because the mean of its divisors is an integer number (4500718437320).

Almost surely, 2^{212211101021100} is an apocalyptic number.

212211101021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211101021100 is an abundant number, since it is smaller than the sum of its proper divisors (435892353952980).

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

212211101021100 is a wasteful number, since it uses less digits than its factorization.

212211101021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103130317 (or 103130272 counting only the distinct ones).

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

Adding to 212211101021100 its reverse (1120101112212), we get a palindrome (213331202133312).

The spelling of 212211101021100 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred one million, twenty-one thousand, one hundred".