100001201300 has 288 divisors, whose sum is σ = 292301291520. Its totient is φ = 28678694400.

The previous prime is 100001201257. The next prime is 100001201329. The reversal of 100001201300 is 3102100001.

It is a super-2 number, since 2×100001201300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34733261 + ... + 34736139.

It is an arithmetic number, because the mean of its divisors is an integer number (1014935040).

Almost surely, 2^100001201300 is an apocalyptic number.

100001201300 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 100001201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146150645760).

100001201300 is an abundant number, since it is smaller than the sum of its proper divisors (192300090220).

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

100001201300 is a wasteful number, since it uses less digits than its factorization.

100001201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100001201300 its reverse (3102100001), we get a palindrome (103103301301).

The spelling of 100001201300 in words is "one hundred billion, one million, two hundred one thousand, three hundred".