221012102020200 has 384 divisors, whose sum is σ = 745124708966400. Its totient is φ = 54000271918080.

The previous prime is 221012102020153. The next prime is 221012102020201. The reversal of 221012102020200 is 2020201210122.

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 221012102020200.

It is not an unprimeable number, because it can be changed into a prime (221012102020201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68871817 + ... + 72009383.

It is an arithmetic number, because the mean of its divisors is an integer number (1940428929600).

Almost surely, 2^{221012102020200} is an apocalyptic number.

221012102020200 is a gapful number since it is divisible by the number (20) 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 221012102020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372562354483200).

221012102020200 is an abundant number, since it is smaller than the sum of its proper divisors (524112606946200).

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

221012102020200 is a wasteful number, since it uses less digits than its factorization.

221012102020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137809 (or 3137800 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221012102020200 its reverse (2020201210122), we get a palindrome (223032303230322).

The spelling of 221012102020200 in words is "two hundred twenty-one trillion, twelve billion, one hundred two million, twenty thousand, two hundred".