202221001122101 has 16 divisors (see below), whose sum is σ = 219097573813104. Its totient is φ = 185533772258304.

The previous prime is 202221001122097. The next prime is 202221001122137. The reversal of 202221001122101 is 101221100122202.

It can be written as a sum of positive squares in 8 ways, for example, as 7099187224900 + 195121813897201 = 2664430^2 + 13968601^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221001122101 - 2² = 202221001122097 is a prime.

It is a super-2 number, since 2×202221001122101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202221001122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221001121101) 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, 4873316 + ... + 20692781.

It is an arithmetic number, because the mean of its divisors is an integer number (13693598363319).

Almost surely, 2^{202221001122101} is an apocalyptic number.

It is an amenable number.

202221001122101 is a deficient number, since it is larger than the sum of its proper divisors (16876572691003).

202221001122101 is a wasteful number, since it uses less digits than its factorization.

202221001122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25569800.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202221001122101 its reverse (101221100122202), we get a palindrome (303442101244303).

The spelling of 202221001122101 in words is "two hundred two trillion, two hundred twenty-one billion, one million, one hundred twenty-two thousand, one hundred one".