10212211121001 has 64 divisors (see below), whose sum is σ = 14522499763200. Its totient is φ = 6371011535616.

The previous prime is 10212211120967. The next prime is 10212211121023. The reversal of 10212211121001 is 10012111221201.

It is a happy number.

It is not a de Polignac number, because 10212211121001 - 2²⁶ = 10212144012137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212211126001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 939739770 + ... + 939750636.

It is an arithmetic number, because the mean of its divisors is an integer number (226914058800).

Almost surely, 2^{10212211121001} is an apocalyptic number.

It is an amenable number.

10212211121001 is a deficient number, since it is larger than the sum of its proper divisors (4310288642199).

10212211121001 is a wasteful number, since it uses less digits than its factorization.

10212211121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10212211121001 its reverse (10012111221201), we get a palindrome (20224322342202).

The spelling of 10212211121001 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, one".