211212101121 has 16 divisors (see below), whose sum is σ = 327123193728. Its totient is φ = 118714060800.

The previous prime is 211212101041. The next prime is 211212101173. The reversal of 211212101121 is 121101212112.

It is a happy number.

It is not a de Polignac number, because 211212101121 - 2¹⁰ = 211212100097 is a prime.

It is a super-2 number, since 2×211212101121² (a number of 23 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 211212101121.

It is not an unprimeable number, because it can be changed into a prime (211212101521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82439040 + ... + 82441601.

It is an arithmetic number, because the mean of its divisors is an integer number (20445199608).

Almost surely, 2^211212101121 is an apocalyptic number.

211212101121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211212101121 is a deficient number, since it is larger than the sum of its proper divisors (115911092607).

211212101121 is a wasteful number, since it uses less digits than its factorization.

211212101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164880712.

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

Adding to 211212101121 its reverse (121101212112), we get a palindrome (332313313233).

The spelling of 211212101121 in words is "two hundred eleven billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".