211211101021121 has 16 divisors (see below), whose sum is σ = 213615448300800. Its totient is φ = 208823327506368.

The previous prime is 211211101021033. The next prime is 211211101021247. The reversal of 211211101021121 is 121120101112112.

It is a cyclic number.

It is not a de Polignac number, because 211211101021121 - 2³⁴ = 211193921151937 is a prime.

It is a super-2 number, since 2×211211101021121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211211101021121.

It is not an unprimeable number, because it can be changed into a prime (211211101021321) 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, 18793511 + ... + 27849923.

It is an arithmetic number, because the mean of its divisors is an integer number (13350965518800).

Almost surely, 2^{211211101021121} is an apocalyptic number.

It is an amenable number.

211211101021121 is a deficient number, since it is larger than the sum of its proper divisors (2404347279679).

211211101021121 is a wasteful number, since it uses less digits than its factorization.

211211101021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057328.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 211211101021121 its reverse (121120101112112), we get a palindrome (332331202133233).

Subtracting from 211211101021121 its reverse (121120101112112), we obtain a palindrome (90090999909009).

The spelling of 211211101021121 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred one million, twenty-one thousand, one hundred twenty-one".