101300201200 has 120 divisors (see below), whose sum is σ = 265625320320. Its totient is φ = 36818860800.

The previous prime is 101300201183. The next prime is 101300201207. The reversal of 101300201200 is 2102003101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300201207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12399517 + ... + 12407683.

It is an arithmetic number, because the mean of its divisors is an integer number (2213544336).

Almost surely, 2^101300201200 is an apocalyptic number.

101300201200 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 101300201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132812660160).

101300201200 is an abundant number, since it is smaller than the sum of its proper divisors (164325119120).

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

101300201200 is a wasteful number, since it uses less digits than its factorization.

101300201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101300201200 its reverse (2102003101), we get a palindrome (103402204301).

It can be divided in two parts, 101300 and 201200, that added together give a square (302500 = 550²).

The spelling of 101300201200 in words is "one hundred one billion, three hundred million, two hundred one thousand, two hundred".