211101120002121 has 24 divisors (see below), whose sum is σ = 289507547770560. Its totient is φ = 136823224583232.

The previous prime is 211101120002053. The next prime is 211101120002137. The reversal of 211101120002121 is 121200021101112.

It is a happy number.

It is not a de Polignac number, because 211101120002121 - 2²¹ = 211101117904969 is a prime.

It is a super-2 number, since 2×211101120002121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211101120002121.

It is not an unprimeable number, because it can be changed into a prime (211101120002161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14880781 + ... + 25370058.

It is an arithmetic number, because the mean of its divisors is an integer number (12062814490440).

Almost surely, 2^{211101120002121} is an apocalyptic number.

It is an amenable number.

211101120002121 is a deficient number, since it is larger than the sum of its proper divisors (78406427768439).

211101120002121 is a wasteful number, since it uses less digits than its factorization.

211101120002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40252193 (or 40252156 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211101120002121 its reverse (121200021101112), we get a palindrome (332301141103233).

The spelling of 211101120002121 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty million, two thousand, one hundred twenty-one".