211100200101 has 36 divisors (see below), whose sum is σ = 357294973932. Its totient is φ = 119748150144.

The previous prime is 211100200061. The next prime is 211100200121. The reversal of 211100200101 is 101002001112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45039875076 + 166060325025 = 212226^2 + 407505^2 .

It is a de Polignac number, because none of the positive numbers 2^k-211100200101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100200121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1686610 + ... + 1807443.

It is an arithmetic number, because the mean of its divisors is an integer number (9924860387).

Almost surely, 2^211100200101 is an apocalyptic number.

211100200101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211100200101 is a deficient number, since it is larger than the sum of its proper divisors (146194773831).

211100200101 is a wasteful number, since it uses less digits than its factorization.

211100200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494210 (or 3494200 counting only the distinct ones).

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

Adding to 211100200101 its reverse (101002001112), we get a palindrome (312102201213).

The spelling of 211100200101 in words is "two hundred eleven billion, one hundred million, two hundred thousand, one hundred one".