211011221101100 has 72 divisors (see below), whose sum is σ = 523321101639168. Its totient is φ = 72344869358400.

The previous prime is 211011221101081. The next prime is 211011221101111. The reversal of 211011221101100 is 1101122110112.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 23938559 + ... + 31544841.

Almost surely, 2^{211011221101100} is an apocalyptic number.

211011221101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011221101100 is an abundant number, since it is smaller than the sum of its proper divisors (312309880538068).

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

211011221101100 is a wasteful number, since it uses less digits than its factorization.

211011221101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7645935 (or 7645928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011221101100 its reverse (1101122110112), we get a palindrome (212112343211212).

The spelling of 211011221101100 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred".