211201100100 has 216 divisors, whose sum is σ = 665801136000. Its totient is φ = 55997844480.

The previous prime is 211201100081. The next prime is 211201100119. The reversal of 211201100100 is 1001102112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211201100081) and next prime (211201100119).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 141840156 + ... + 141841644.

Almost surely, 2^211201100100 is an apocalyptic number.

211201100100 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 211201100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332900568000).

211201100100 is an abundant number, since it is smaller than the sum of its proper divisors (454600035900).

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

211201100100 is a wasteful number, since it uses less digits than its factorization.

211201100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211201100100 its reverse (1001102112), we get a palindrome (212202202212).

The spelling of 211201100100 in words is "two hundred eleven billion, two hundred one million, one hundred thousand, one hundred".