10002202100121 has 64 divisors (see below), whose sum is σ = 16764180111360. Its totient is φ = 5153258530560.

The previous prime is 10002202100113. The next prime is 10002202100161. The reversal of 10002202100121 is 12100120220001.

It is not a de Polignac number, because 10002202100121 - 2³ = 10002202100113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002202100097 and 10002202100106.

It is not an unprimeable number, because it can be changed into a prime (10002202100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14079040 + ... + 14772398.

It is an arithmetic number, because the mean of its divisors is an integer number (261940314240).

Almost surely, 2^{10002202100121} is an apocalyptic number.

10002202100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002202100121 is a deficient number, since it is larger than the sum of its proper divisors (6761978011239).

10002202100121 is a wasteful number, since it uses less digits than its factorization.

10002202100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693894.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002202100121 its reverse (12100120220001), we get a palindrome (22102322320122).

The spelling of 10002202100121 in words is "ten trillion, two billion, two hundred two million, one hundred thousand, one hundred twenty-one".