211221211102100 has 144 divisors (see below), whose sum is σ = 468832498799616. Its totient is φ = 82580084400000.

The previous prime is 211221211102049. The next prime is 211221211102129. The reversal of 211221211102100 is 1201112122112.

It is a super-2 number, since 2×211221211102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666804755 + ... + 667121445.

It is an arithmetic number, because the mean of its divisors is an integer number (3255781241664).

Almost surely, 2^{211221211102100} is an apocalyptic number.

211221211102100 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 211221211102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234416249399808).

211221211102100 is an abundant number, since it is smaller than the sum of its proper divisors (257611287697516).

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

211221211102100 is a wasteful number, since it uses less digits than its factorization.

211221211102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317646 (or 317639 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211221211102100 its reverse (1201112122112), we get a palindrome (212422323224212).

The spelling of 211221211102100 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred two thousand, one hundred".