211121102001 has 16 divisors (see below), whose sum is σ = 298062979200. Its totient is φ = 132463849728.

The previous prime is 211121101987. The next prime is 211121102009. The reversal of 211121102001 is 100201121112.

211121102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211121102001 - 2¹⁵ = 211121069233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2411055 + ... + 2497083.

It is an arithmetic number, because the mean of its divisors is an integer number (18628936200).

Almost surely, 2^211121102001 is an apocalyptic number.

It is an amenable number.

211121102001 is a deficient number, since it is larger than the sum of its proper divisors (86941877199).

211121102001 is a wasteful number, since it uses less digits than its factorization.

211121102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134168.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211121102001 its reverse (100201121112), we get a palindrome (311322223113).

The spelling of 211121102001 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred two thousand, one".