211101200122100 has 36 divisors (see below), whose sum is σ = 458265185361900. Its totient is φ = 84408114869760.

The previous prime is 211101200122093. The next prime is 211101200122103. The reversal of 211101200122100 is 1221002101112.

It can be written as a sum of positive squares in 6 ways, for example, as 17871350412304 + 193229849709796 = 4227452^2 + 13900714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101200122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404302535 + ... + 404824334.

It is an arithmetic number, because the mean of its divisors is an integer number (12729588482275).

Almost surely, 2^{211101200122100} is an apocalyptic number.

211101200122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101200122100 is an abundant number, since it is smaller than the sum of its proper divisors (247163985239800).

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

211101200122100 is a wasteful number, since it uses less digits than its factorization.

211101200122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809129492 (or 809129485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211101200122100 its reverse (1221002101112), we get a palindrome (212322202223212).

The spelling of 211101200122100 in words is "two hundred eleven trillion, one hundred one billion, two hundred million, one hundred twenty-two thousand, one hundred".