102300122323120 has 80 divisors (see below), whose sum is σ = 241444159665120. Its totient is φ = 40301552535552.

The previous prime is 102300122323079. The next prime is 102300122323121. The reversal of 102300122323120 is 21323221003201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102300122323091 and 102300122323100.

It is not an unprimeable number, because it can be changed into a prime (102300122323121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26088234 + ... + 29752246.

It is an arithmetic number, because the mean of its divisors is an integer number (3018051995814).

Almost surely, 2^{102300122323120} is an apocalyptic number.

102300122323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102300122323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120722079832560).

102300122323120 is an abundant number, since it is smaller than the sum of its proper divisors (139144037342000).

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

102300122323120 is a wasteful number, since it uses less digits than its factorization.

102300122323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669302 (or 3669296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102300122323120 its reverse (21323221003201), we get a palindrome (123623343326321).

The spelling of 102300122323120 in words is "one hundred two trillion, three hundred billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred twenty".