102100123300120 has 256 divisors, whose sum is σ = 261066298060800. Its totient is φ = 35601549312000.

The previous prime is 102100123300099. The next prime is 102100123300127. The reversal of 102100123300120 is 21003321001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100123300094 and 102100123300103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100123300127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686003952 + ... + 686152768.

It is an arithmetic number, because the mean of its divisors is an integer number (1019790226800).

Almost surely, 2^{102100123300120} is an apocalyptic number.

102100123300120 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 102100123300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130533149030400).

102100123300120 is an abundant number, since it is smaller than the sum of its proper divisors (158966174760680).

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

102100123300120 is a wasteful number, since it uses less digits than its factorization.

102100123300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149330 (or 149326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102100123300120 its reverse (21003321001201), we get a palindrome (123103444301321).

The spelling of 102100123300120 in words is "one hundred two trillion, one hundred billion, one hundred twenty-three million, three hundred thousand, one hundred twenty".