101001201300 has 216 divisors, whose sum is σ = 337814072960. Its totient is φ = 25166246400.

The previous prime is 101001201293. The next prime is 101001201307. The reversal of 101001201300 is 3102100101.

It is an interprime number because it is at equal distance from previous prime (101001201293) and next prime (101001201307).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001201307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1207845 + ... + 1288755.

Almost surely, 2^101001201300 is an apocalyptic number.

101001201300 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 101001201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168907036480).

101001201300 is an abundant number, since it is smaller than the sum of its proper divisors (236812871660).

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

101001201300 is a wasteful number, since it uses less digits than its factorization.

101001201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81023 (or 81013 counting only the distinct ones).

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

Adding to 101001201300 its reverse (3102100101), we get a palindrome (104103301401).

The spelling of 101001201300 in words is "one hundred one billion, one million, two hundred one thousand, three hundred".