221202102122211 has 48 divisors (see below), whose sum is σ = 361156367932800. Its totient is φ = 119745164512512.

The previous prime is 221202102122207. The next prime is 221202102122219. The reversal of 221202102122211 is 112221201202122.

221202102122211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221202102122211 - 2² = 221202102122207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221202102122219) 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, 100670460 + ... + 102844278.

It is an arithmetic number, because the mean of its divisors is an integer number (7524090998600).

Almost surely, 2^{221202102122211} is an apocalyptic number.

221202102122211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221202102122211 is a deficient number, since it is larger than the sum of its proper divisors (139954265810589).

221202102122211 is a wasteful number, since it uses less digits than its factorization.

221202102122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210288 (or 2210281 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221202102122211 its reverse (112221201202122), we get a palindrome (333423303324333).

The spelling of 221202102122211 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred two million, one hundred twenty-two thousand, two hundred eleven".