102200121211111 has 32 divisors (see below), whose sum is σ = 127517521697280. Its totient is φ = 79574474044800.

The previous prime is 102200121211093. The next prime is 102200121211147. The reversal of 102200121211111 is 111112121002201.

It is not a de Polignac number, because 102200121211111 - 2⁷ = 102200121210983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200121211151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1805723265 + ... + 1805779861.

It is an arithmetic number, because the mean of its divisors is an integer number (3984922553040).

Almost surely, 2^{102200121211111} is an apocalyptic number.

102200121211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102200121211111 is a deficient number, since it is larger than the sum of its proper divisors (25317400486169).

102200121211111 is a wasteful number, since it uses less digits than its factorization.

102200121211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74455.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102200121211111 its reverse (111112121002201), we get a palindrome (213312242213312).

The spelling of 102200121211111 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred eleven".