211022100011100 has 288 divisors, whose sum is σ = 728785089768960. Its totient is φ = 46134586506240.

The previous prime is 211022100011083. The next prime is 211022100011131. The reversal of 211022100011100 is 1110001220112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18431439 + ... + 27600038.

It is an arithmetic number, because the mean of its divisors is an integer number (2530503783920).

Almost surely, 2^{211022100011100} is an apocalyptic number.

211022100011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022100011100 is an abundant number, since it is smaller than the sum of its proper divisors (517762989757860).

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

211022100011100 is a wasteful number, since it uses less digits than its factorization.

211022100011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46031597 (or 46031590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211022100011100 its reverse (1110001220112), we get a palindrome (212132101231212).

The spelling of 211022100011100 in words is "two hundred eleven trillion, twenty-two billion, one hundred million, eleven thousand, one hundred".