211011121220101 has 8 divisors (see below), whose sum is σ = 223471868808384. Its totient is φ = 198824236216320.

The previous prime is 211011121220071. The next prime is 211011121220173. The reversal of 211011121220101 is 101022121110112.

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 211011121220101 - 2⁷ = 211011121219973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011121220191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68465644540 + ... + 68465647621.

It is an arithmetic number, because the mean of its divisors is an integer number (27933983601048).

Almost surely, 2^{211011121220101} is an apocalyptic number.

It is an amenable number.

211011121220101 is a deficient number, since it is larger than the sum of its proper divisors (12460747588283).

211011121220101 is a wasteful number, since it uses less digits than its factorization.

211011121220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136931292251.

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

Adding to 211011121220101 its reverse (101022121110112), we get a palindrome (312033242330213).

The spelling of 211011121220101 in words is "two hundred eleven trillion, eleven billion, one hundred twenty-one million, two hundred twenty thousand, one hundred one".