10201200203220 has 144 divisors (see below), whose sum is σ = 31028382245952. Its totient is φ = 2503041315840.

The previous prime is 10201200203153. The next prime is 10201200203239. The reversal of 10201200203220 is 2230200210201.

It is a happy number.

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 10201200203220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566735 + ... + 4780905.

It is an arithmetic number, because the mean of its divisors is an integer number (215474876708).

Almost surely, 2^{10201200203220} is an apocalyptic number.

10201200203220 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 10201200203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514191122976).

10201200203220 is an abundant number, since it is smaller than the sum of its proper divisors (20827182042732).

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

10201200203220 is a wasteful number, since it uses less digits than its factorization.

10201200203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214522 (or 3214507 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10201200203220 its reverse (2230200210201), we get a palindrome (12431400413421).

The spelling of 10201200203220 in words is "ten trillion, two hundred one billion, two hundred million, two hundred three thousand, two hundred twenty".