211001220100 has 72 divisors (see below), whose sum is σ = 499803198048. Its totient is φ = 76680748800.

The previous prime is 211001220077. The next prime is 211001220113. The reversal of 211001220100 is 1022100112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764819 + ... + 1880581.

It is an arithmetic number, because the mean of its divisors is an integer number (6941711084).

Almost surely, 2^211001220100 is an apocalyptic number.

211001220100 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 211001220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249901599024).

211001220100 is an abundant number, since it is smaller than the sum of its proper divisors (288801977948).

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

211001220100 is a wasteful number, since it uses less digits than its factorization.

211001220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117445 (or 117438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211001220100 its reverse (1022100112), we get a palindrome (212023320212).

The spelling of 211001220100 in words is "two hundred eleven billion, one million, two hundred twenty thousand, one hundred".