10121122221201 has 64 divisors (see below), whose sum is σ = 15456089088000. Its totient is φ = 6542436700800.

The previous prime is 10121122221173. The next prime is 10121122221241. The reversal of 10121122221201 is 10212222112101.

10121122221201 is a `hidden beast` number, since 1 + 0 + 121 + 122 + 221 + 201 = 666.

It is not a de Polignac number, because 10121122221201 - 2¹⁰ = 10121122220177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121122221241) 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, 99526341 + ... + 99627981.

It is an arithmetic number, because the mean of its divisors is an integer number (241501392000).

Almost surely, 2^{10121122221201} is an apocalyptic number.

It is an amenable number.

10121122221201 is a deficient number, since it is larger than the sum of its proper divisors (5334966866799).

10121122221201 is a wasteful number, since it uses less digits than its factorization.

10121122221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102427 (or 102421 counting only the distinct ones).

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

Adding to 10121122221201 its reverse (10212222112101), we get a palindrome (20333344333302).

The spelling of 10121122221201 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred one".