211101201011100 has 288 divisors, whose sum is σ = 650124876844800. Its totient is φ = 52735594752000.

The previous prime is 211101201010939. The next prime is 211101201011111. The reversal of 211101201011100 is 1110102101112.

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, 452842936 + ... + 453308864.

It is an arithmetic number, because the mean of its divisors is an integer number (2257378044600).

Almost surely, 2^{211101201011100} is an apocalyptic number.

211101201011100 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 211101201011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325062438422400).

211101201011100 is an abundant number, since it is smaller than the sum of its proper divisors (439023675833700).

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

211101201011100 is a wasteful number, since it uses less digits than its factorization.

211101201011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466853 (or 466846 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211101201011100 its reverse (1110102101112), we get a palindrome (212211303112212).

The spelling of 211101201011100 in words is "two hundred eleven trillion, one hundred one billion, two hundred one million, eleven thousand, one hundred".