211101221202100 has 18 divisors (see below), whose sum is σ = 458089650008774. Its totient is φ = 84440488480800.

The previous prime is 211101221202043. The next prime is 211101221202103. The reversal of 211101221202100 is 1202122101112.

It can be written as a sum of positive squares in 3 ways, for example, as 7742840499216 + 203358380702884 = 2782596^2 + 14260378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101221202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1055506105911 + ... + 1055506106110.

Almost surely, 2^{211101221202100} is an apocalyptic number.

211101221202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101221202100 is an abundant number, since it is smaller than the sum of its proper divisors (246988428806674).

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

211101221202100 is a wasteful number, since it uses less digits than its factorization.

211101221202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111012212035 (or 2111012212028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211101221202100 its reverse (1202122101112), we get a palindrome (212303343303212).

The spelling of 211101221202100 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty-one million, two hundred two thousand, one hundred".