202201101011221 has 16 divisors (see below), whose sum is σ = 220243717654128. Its totient is φ = 184519602432000.

The previous prime is 202201101011213. The next prime is 202201101011267. The reversal of 202201101011221 is 122110101102202.

It can be written as a sum of positive squares in 8 ways, for example, as 266741260900 + 201934359750321 = 516470^2 + 14210361^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201101011221 - 2³ = 202201101011213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202201101011195 and 202201101011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201101011621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115621756 + ... + 117357541.

It is an arithmetic number, because the mean of its divisors is an integer number (13765232353383).

Almost surely, 2^{202201101011221} is an apocalyptic number.

It is an amenable number.

202201101011221 is a deficient number, since it is larger than the sum of its proper divisors (18042616642907).

202201101011221 is a wasteful number, since it uses less digits than its factorization.

202201101011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232980072.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202201101011221 its reverse (122110101102202), we get a palindrome (324311202113423).

The spelling of 202201101011221 in words is "two hundred two trillion, two hundred one billion, one hundred one million, eleven thousand, two hundred twenty-one".