102201200021221 has 16 divisors (see below), whose sum is σ = 116852810405760. Its totient is φ = 87562451335680.

The previous prime is 102201200021203. The next prime is 102201200021237. The reversal of 102201200021221 is 122120002102201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102201200021221 - 2²⁹ = 102200663150309 is a prime.

It is a super-3 number, since 3×102201200021221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201200021195 and 102201200021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201200021251) 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, 1007661850 + ... + 1007763268.

It is an arithmetic number, because the mean of its divisors is an integer number (7303300650360).

Almost surely, 2^{102201200021221} is an apocalyptic number.

It is an amenable number.

102201200021221 is a deficient number, since it is larger than the sum of its proper divisors (14651610384539).

102201200021221 is a wasteful number, since it uses less digits than its factorization.

102201200021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163404.

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

Adding to 102201200021221 its reverse (122120002102201), we get a palindrome (224321202123422).

The spelling of 102201200021221 in words is "one hundred two trillion, two hundred one billion, two hundred million, twenty-one thousand, two hundred twenty-one".