10201201221300 has 144 divisors (see below), whose sum is σ = 29855800148160. Its totient is φ = 2689021808640.

The previous prime is 10201201221193. The next prime is 10201201221301. The reversal of 10201201221300 is 312210210201.

It is a super-2 number, since 2×10201201221300² (a number of 27 digits) contains 22 as substring.

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 10201201221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201201221301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23912467 + ... + 24335333.

Almost surely, 2^{10201201221300} is an apocalyptic number.

10201201221300 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 10201201221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927900074080).

10201201221300 is an abundant number, since it is smaller than the sum of its proper divisors (19654598926860).

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

10201201221300 is a wasteful number, since it uses less digits than its factorization.

10201201221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423810 (or 423803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10201201221300 its reverse (312210210201), we get a palindrome (10513411431501).

The spelling of 10201201221300 in words is "ten trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand, three hundred".