10202121121221 has 32 divisors (see below), whose sum is σ = 15169032192000. Its totient is φ = 6776788399920.

The previous prime is 10202121121207. The next prime is 10202121121243. The reversal of 10202121121221 is 12212112120201.

10202121121221 is a `hidden beast` number, since 1 + 0 + 202 + 121 + 121 + 221 = 666.

It is not a de Polignac number, because 10202121121221 - 2¹⁰ = 10202121120197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202121121194 and 10202121121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202121121271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14555580 + ... + 15240378.

It is an arithmetic number, because the mean of its divisors is an integer number (474032256000).

Almost surely, 2^{10202121121221} is an apocalyptic number.

It is an amenable number.

10202121121221 is a deficient number, since it is larger than the sum of its proper divisors (4966911070779).

10202121121221 is a wasteful number, since it uses less digits than its factorization.

10202121121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686806 (or 686800 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10202121121221 its reverse (12212112120201), we get a palindrome (22414233241422).

The spelling of 10202121121221 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".