10202122021221 has 24 divisors (see below), whose sum is σ = 16027095999096. Its totient is φ = 6216068246400.

The previous prime is 10202122021211. The next prime is 10202122021279. The reversal of 10202122021221 is 12212022120201.

It is a happy number.

10202122021221 is a `hidden beast` number, since 1 + 0 + 202 + 1 + 220 + 21 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1223025869025 + 8979096152196 = 1105905^2 + 2996514^2 .

It is not a de Polignac number, because 10202122021221 - 2¹⁰ = 10202122020197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10202122021194 and 10202122021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122021211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431659590 + ... + 431683223.

It is an arithmetic number, because the mean of its divisors is an integer number (667795666629).

Almost surely, 2^{10202122021221} is an apocalyptic number.

It is an amenable number.

10202122021221 is a deficient number, since it is larger than the sum of its proper divisors (5824973977875).

10202122021221 is a wasteful number, since it uses less digits than its factorization.

10202122021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863342933 (or 863342930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202122021221 its reverse (12212022120201), we get a palindrome (22414144141422).

The spelling of 10202122021221 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty-one".