10201120202221 has 16 divisors (see below), whose sum is σ = 11094913030320. Its totient is φ = 9322917235200.

The previous prime is 10201120202219. The next prime is 10201120202227. The reversal of 10201120202221 is 12220202110201.

It is a happy number.

10201120202221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 727590234121 + 9473529968100 = 852989^2 + 3077910^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201120202221 - 2¹ = 10201120202219 is a prime.

It is a super-2 number, since 2×10201120202221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201120202195 and 10201120202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201120202227) 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, 55985961 + ... + 56167873.

It is an arithmetic number, because the mean of its divisors is an integer number (693432064395).

Almost surely, 2^{10201120202221} is an apocalyptic number.

It is an amenable number.

10201120202221 is a deficient number, since it is larger than the sum of its proper divisors (893792828099).

10201120202221 is a wasteful number, since it uses less digits than its factorization.

10201120202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224736.

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

Adding to 10201120202221 its reverse (12220202110201), we get a palindrome (22421322312422).

The spelling of 10201120202221 in words is "ten trillion, two hundred one billion, one hundred twenty million, two hundred two thousand, two hundred twenty-one".