102300131121111 has 24 divisors (see below), whose sum is σ = 184228807561344. Its totient is φ = 53142925257360.

The previous prime is 102300131121061. The next prime is 102300131121169. The reversal of 102300131121111 is 111121131003201.

102300131121111 is a `hidden beast` number, since 1 + 0 + 2 + 300 + 131 + 121 + 111 = 666.

It is not a de Polignac number, because 102300131121111 - 2²¹ = 102300129023959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102300131121011) 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 23 ways as a sum of consecutive naturals, for example, 73809617721 + ... + 73809619106.

It is an arithmetic number, because the mean of its divisors is an integer number (7676200315056).

Almost surely, 2^{102300131121111} is an apocalyptic number.

102300131121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102300131121111 is a deficient number, since it is larger than the sum of its proper divisors (81928676440233).

102300131121111 is a wasteful number, since it uses less digits than its factorization.

102300131121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147619236851 (or 147619236848 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 102300131121111 its reverse (111121131003201), we get a palindrome (213421262124312).

The spelling of 102300131121111 in words is "one hundred two trillion, three hundred billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred eleven".