102300033121 has 64 divisors (see below), whose sum is σ = 130086673920. Its totient is φ = 79067197440.

The previous prime is 102300033107. The next prime is 102300033137. The reversal of 102300033121 is 121330003201.

It is not a de Polignac number, because 102300033121 - 2¹¹ = 102300031073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102300033095 and 102300033104.

It is not an unprimeable number, because it can be changed into a prime (102300033161) 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 63 ways as a sum of consecutive naturals, for example, 41298735 + ... + 41301211.

It is an arithmetic number, because the mean of its divisors is an integer number (2032604280).

Almost surely, 2^102300033121 is an apocalyptic number.

102300033121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102300033121 is a deficient number, since it is larger than the sum of its proper divisors (27786640799).

102300033121 is a wasteful number, since it uses less digits than its factorization.

102300033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102300033121 its reverse (121330003201), we get a palindrome (223630036322).

The spelling of 102300033121 in words is "one hundred two billion, three hundred million, thirty-three thousand, one hundred twenty-one".