10211022121001 has 8 divisors (see below), whose sum is σ = 11375674511880. Its totient is φ = 9100539608832.

The previous prime is 10211022120989. The next prime is 10211022121049. The reversal of 10211022121001 is 10012122011201.

It can be written as a sum of positive squares in 4 ways, for example, as 141195577600 + 10069826543401 = 375760^2 + 3173299^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211022121001 - 2¹⁴ = 10211022104617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211022121801) 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 7 ways as a sum of consecutive naturals, for example, 13542469280 + ... + 13542470033.

It is an arithmetic number, because the mean of its divisors is an integer number (1421959313985).

Almost surely, 2^{10211022121001} is an apocalyptic number.

It is an amenable number.

10211022121001 is a deficient number, since it is larger than the sum of its proper divisors (1164652390879).

10211022121001 is a wasteful number, since it uses less digits than its factorization.

10211022121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27084939355.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211022121001 its reverse (10012122011201), we get a palindrome (20223144132202).

The spelling of 10211022121001 in words is "ten trillion, two hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one".