10200021022121 has 24 divisors (see below), whose sum is σ = 11922565206024. Its totient is φ = 8700751019520.

The previous prime is 10200021022109. The next prime is 10200021022141. The reversal of 10200021022121 is 12122012000201.

It can be written as a sum of positive squares in 4 ways, for example, as 7631489125225 + 2568531896896 = 2762515^2 + 1602664^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10200021022121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200021022096 and 10200021022105.

It is not an unprimeable number, because it can be changed into a prime (10200021022141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17341571 + ... + 17920103.

It is an arithmetic number, because the mean of its divisors is an integer number (496773550251).

Almost surely, 2^{10200021022121} is an apocalyptic number.

It is an amenable number.

10200021022121 is a deficient number, since it is larger than the sum of its proper divisors (1722544183903).

10200021022121 is a wasteful number, since it uses less digits than its factorization.

10200021022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580281 (or 580274 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10200021022121 its reverse (12122012000201), we get a palindrome (22322033022322).

The spelling of 10200021022121 in words is "ten trillion, two hundred billion, twenty-one million, twenty-two thousand, one hundred twenty-one".