102001101300 has 216 divisors, whose sum is σ = 365588059200. Its totient is φ = 23301941760.

The previous prime is 102001101289. The next prime is 102001101313. The reversal of 102001101300 is 3101100201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16748656 + ... + 16754744.

Almost surely, 2^102001101300 is an apocalyptic number.

102001101300 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 102001101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182794029600).

102001101300 is an abundant number, since it is smaller than the sum of its proper divisors (263586957900).

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

102001101300 is a wasteful number, since it uses less digits than its factorization.

102001101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102001101300 its reverse (3101100201), we get a palindrome (105102201501).

The spelling of 102001101300 in words is "one hundred two billion, one million, one hundred one thousand, three hundred".