211101120120121 has 16 divisors (see below), whose sum is σ = 263191331266560. Its totient is φ = 164494176587280.

The previous prime is 211101120120109. The next prime is 211101120120133. The reversal of 211101120120121 is 121021021101112.

It is an interprime number because it is at equal distance from previous prime (211101120120109) and next prime (211101120120133).

It is a cyclic number.

It is not a de Polignac number, because 211101120120121 - 2¹⁵ = 211101120087353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211101120120095 and 211101120120104.

It is not an unprimeable number, because it can be changed into a prime (211101120120161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103247080 + ... + 105271846.

It is an arithmetic number, because the mean of its divisors is an integer number (16449458204160).

Almost surely, 2^{211101120120121} is an apocalyptic number.

It is an amenable number.

211101120120121 is a deficient number, since it is larger than the sum of its proper divisors (52090211146439).

211101120120121 is a wasteful number, since it uses less digits than its factorization.

211101120120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378804.

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

Adding to 211101120120121 its reverse (121021021101112), we get a palindrome (332122141221233).

The spelling of 211101120120121 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty-one".