211101221102100 has 72 divisors (see below), whose sum is σ = 698041371117888. Its totient is φ = 48251707680000.

The previous prime is 211101221102089. The next prime is 211101221102141. The reversal of 211101221102100 is 1201122101112.

It is a happy number.

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 211101221102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50262193401 + ... + 50262197600.

It is an arithmetic number, because the mean of its divisors is an integer number (9695019043304).

Almost surely, 2^{211101221102100} is an apocalyptic number.

211101221102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101221102100 is an abundant number, since it is smaller than the sum of its proper divisors (486940150015788).

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

211101221102100 is a wasteful number, since it uses less digits than its factorization.

211101221102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100524391025 (or 100524391018 counting only the distinct ones).

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

Adding to 211101221102100 its reverse (1201122101112), we get a palindrome (212302343203212).

The spelling of 211101221102100 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty-one million, one hundred two thousand, one hundred".