102120123300 has 144 divisors (see below), whose sum is σ = 318691060800. Its totient is φ = 25098140160.

The previous prime is 102120123283. The next prime is 102120123317. The reversal of 102120123300 is 3321021201.

It is an interprime number because it is at equal distance from previous prime (102120123283) and next prime (102120123317).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102120123300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2526651 + ... + 2566749.

Almost surely, 2^102120123300 is an apocalyptic number.

102120123300 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 102120123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159345530400).

102120123300 is an abundant number, since it is smaller than the sum of its proper divisors (216570937500).

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

102120123300 is a wasteful number, since it uses less digits than its factorization.

102120123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40782 (or 40775 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102120123300 its reverse (3321021201), we get a palindrome (105441144501).

The spelling of 102120123300 in words is "one hundred two billion, one hundred twenty million, one hundred twenty-three thousand, three hundred".