211102210102200 has 48 divisors (see below), whose sum is σ = 654416851318680. Its totient is φ = 56293922693760.

The previous prime is 211102210102171. The next prime is 211102210102283. The reversal of 211102210102200 is 2201012201112.

It is a super-2 number, since 2×211102210102200² (a number of 29 digits) contains 22 as substring.

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 211102210102200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175918507819 + ... + 175918509018.

Almost surely, 2^{211102210102200} is an apocalyptic number.

211102210102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102210102200 is an abundant number, since it is smaller than the sum of its proper divisors (443314641216480).

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

211102210102200 is a wasteful number, since it uses less digits than its factorization.

211102210102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351837016856 (or 351837016847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211102210102200 its reverse (2201012201112), we get a palindrome (213303222303312).

The spelling of 211102210102200 in words is "two hundred eleven trillion, one hundred two billion, two hundred ten million, one hundred two thousand, two hundred".