221200221012100 has 108 divisors (see below), whose sum is σ = 537563103454692. Its totient is φ = 78918775020800.

The previous prime is 221200221012053. The next prime is 221200221012131. The reversal of 221200221012100 is 1210122002122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10336597943364 + 210863623068736 = 3215058^2 + 14521144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171821059 + ... + 173103658.

It is an arithmetic number, because the mean of its divisors is an integer number (4977436143099).

Almost surely, 2^{221200221012100} is an apocalyptic number.

221200221012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200221012100 is an abundant number, since it is smaller than the sum of its proper divisors (316362882442592).

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

221200221012100 is a wasteful number, since it uses less digits than its factorization.

221200221012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344924806 (or 344924788 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221200221012100 its reverse (1210122002122), we get a palindrome (222410343014222).

The spelling of 221200221012100 in words is "two hundred twenty-one trillion, two hundred billion, two hundred twenty-one million, twelve thousand, one hundred".