10211221122201 has 24 divisors (see below), whose sum is σ = 16090532400384. Its totient is φ = 6188571416160.

The previous prime is 10211221122199. The next prime is 10211221122229. The reversal of 10211221122201 is 10222112211201.

10211221122201 is a `hidden beast` number, since 1 + 0 + 211 + 221 + 12 + 220 + 1 = 666.

It is not a de Polignac number, because 10211221122201 - 2¹ = 10211221122199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211221126201) 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, 15998935 + ... + 16624931.

It is an arithmetic number, because the mean of its divisors is an integer number (670438850016).

Almost surely, 2^{10211221122201} is an apocalyptic number.

10211221122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211221122201 is a deficient number, since it is larger than the sum of its proper divisors (5879311278183).

10211221122201 is a wasteful number, since it uses less digits than its factorization.

10211221122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790781 (or 790778 counting only the distinct ones).

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

Adding to 10211221122201 its reverse (10222112211201), we get a palindrome (20433333333402).

The spelling of 10211221122201 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred one".