211200102100 has 72 divisors (see below), whose sum is σ = 494156279960. Its totient is φ = 77887111680.

The previous prime is 211200102097. The next prime is 211200102107. The reversal of 211200102100 is 1201002112.

It can be written as a sum of positive squares in 12 ways, for example, as 113853606084 + 97346496016 = 337422^2 + 312004^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979714 + ... + 1175686.

Almost surely, 2^211200102100 is an apocalyptic number.

211200102100 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 211200102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247078139980).

211200102100 is an abundant number, since it is smaller than the sum of its proper divisors (282956177860).

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

211200102100 is a wasteful number, since it uses less digits than its factorization.

211200102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196829 (or 196822 counting only the distinct ones).

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

Adding to 211200102100 its reverse (1201002112), we get a palindrome (212401104212).

The spelling of 211200102100 in words is "two hundred eleven billion, two hundred million, one hundred two thousand, one hundred".