211121201122101 has 64 divisors (see below), whose sum is σ = 334572903440640. Its totient is φ = 131108216371200.

The previous prime is 211121201122093. The next prime is 211121201122127. The reversal of 211121201122101 is 101221102121112.

It is a happy number.

211121201122101 is a `hidden beast` number, since 211 + 12 + 120 + 112 + 210 + 1 = 666.

It is not a de Polignac number, because 211121201122101 - 2³ = 211121201122093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121201122501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124932666 + ... + 126611268.

It is an arithmetic number, because the mean of its divisors is an integer number (5227701616260).

Almost surely, 2^{211121201122101} is an apocalyptic number.

It is an amenable number.

211121201122101 is a deficient number, since it is larger than the sum of its proper divisors (123451702318539).

211121201122101 is a wasteful number, since it uses less digits than its factorization.

211121201122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681443 (or 1681437 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121201122101 its reverse (101221102121112), we get a palindrome (312342303243213).

The spelling of 211121201122101 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, one hundred one".