10202122121121 has 24 divisors (see below), whose sum is σ = 16860671672000. Its totient is φ = 5823181790496.

The previous prime is 10202122121089. The next prime is 10202122121153. The reversal of 10202122121121 is 12112122120201.

10202122121121 is a `hidden beast` number, since 10 + 202 + 1 + 221 + 211 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (10202122121089) and next prime (10202122121153).

It is not a de Polignac number, because 10202122121121 - 2⁵ = 10202122121089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202122121094 and 10202122121103.

It is not an unprimeable number, because it can be changed into a prime (10202122126121) 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, 91642246 + ... + 91753503.

Almost surely, 2^{10202122121121} is an apocalyptic number.

It is an amenable number.

10202122121121 is a deficient number, since it is larger than the sum of its proper divisors (6658549550879).

10202122121121 is a wasteful number, since it uses less digits than its factorization.

10202122121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183396645 (or 183396642 counting only the distinct ones).

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

Adding to 10202122121121 its reverse (12112122120201), we get a palindrome (22314244241322).

The spelling of 10202122121121 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".