10001002022121 has 16 divisors (see below), whose sum is σ = 14643249205248. Its totient is φ = 6021072858000.

The previous prime is 10001002022117. The next prime is 10001002022129. The reversal of 10001002022121 is 12122020010001.

It is not a de Polignac number, because 10001002022121 - 2² = 10001002022117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001002022097 and 10001002022106.

It is not an unprimeable number, because it can be changed into a prime (10001002022129) 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 15 ways as a sum of consecutive naturals, for example, 1003507161 + ... + 1003517126.

It is an arithmetic number, because the mean of its divisors is an integer number (915203075328).

Almost surely, 2^{10001002022121} is an apocalyptic number.

10001002022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001002022121 is a deficient number, since it is larger than the sum of its proper divisors (4642247183127).

10001002022121 is a wasteful number, since it uses less digits than its factorization.

10001002022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007024452.

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

Adding to 10001002022121 its reverse (12122020010001), we get a palindrome (22123022032122).

The spelling of 10001002022121 in words is "ten trillion, one billion, two million, twenty-two thousand, one hundred twenty-one".