211121110001001 has 32 divisors (see below), whose sum is σ = 291434798764800. Its totient is φ = 135841256941824.

The previous prime is 211121110000901. The next prime is 211121110001003. The reversal of 211121110001001 is 100100011121112.

It is not a de Polignac number, because 211121110001001 - 2¹⁰ = 211121109999977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121110001003) 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 31 ways as a sum of consecutive naturals, for example, 3698271 + ... + 20878683.

It is an arithmetic number, because the mean of its divisors is an integer number (9107337461400).

Almost surely, 2^{211121110001001} is an apocalyptic number.

It is an amenable number.

211121110001001 is a deficient number, since it is larger than the sum of its proper divisors (80313688763799).

211121110001001 is a wasteful number, since it uses less digits than its factorization.

211121110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181345.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211121110001001 its reverse (100100011121112), we get a palindrome (311221121122113).

The spelling of 211121110001001 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred ten million, one thousand, one".