10202121112221 has 96 divisors (see below), whose sum is σ = 15829758637056. Its totient is φ = 6322276800000.

The previous prime is 10202121112181. The next prime is 10202121112223. The reversal of 10202121112221 is 12221112120201.

10202121112221 is a `hidden beast` number, since 10 + 202 + 121 + 112 + 221 = 666.

It is not a de Polignac number, because 10202121112221 - 2⁷ = 10202121112093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202121112194 and 10202121112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202121112223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112187871 + ... + 112278771.

It is an arithmetic number, because the mean of its divisors is an integer number (164893319136).

Almost surely, 2^{10202121112221} is an apocalyptic number.

It is an amenable number.

10202121112221 is a deficient number, since it is larger than the sum of its proper divisors (5627637524835).

10202121112221 is a wasteful number, since it uses less digits than its factorization.

10202121112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91163 (or 91160 counting only the distinct ones).

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

Adding to 10202121112221 its reverse (12221112120201), we get a palindrome (22423233232422).

The spelling of 10202121112221 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".