211331300100 has 36 divisors (see below), whose sum is σ = 611451895824. Its totient is φ = 56355013280.

The previous prime is 211331300051. The next prime is 211331300107. The reversal of 211331300100 is 1003133112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211331300100.

It is not an unprimeable number, because it can be changed into a prime (211331300107) 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 11 ways as a sum of consecutive naturals, for example, 352218534 + ... + 352219133.

It is an arithmetic number, because the mean of its divisors is an integer number (16984774884).

Almost surely, 2^211331300100 is an apocalyptic number.

211331300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211331300100 is an abundant number, since it is smaller than the sum of its proper divisors (400120595724).

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

211331300100 is a wasteful number, since it uses less digits than its factorization.

211331300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704437684 (or 704437677 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 211331300100 its reverse (1003133112), we get a palindrome (212334433212).

The spelling of 211331300100 in words is "two hundred eleven billion, three hundred thirty-one million, three hundred thousand, one hundred".