1102112122211 has 16 divisors (see below), whose sum is σ = 1210868870400. Its totient is φ = 998453779488.

The previous prime is 1102112122123. The next prime is 1102112122213. The reversal of 1102112122211 is 1122212112011.

It is a cyclic number.

It is not a de Polignac number, because 1102112122211 - 2³⁸ = 827234215267 is a prime.

It is a super-2 number, since 2×1102112122211² (a number of 25 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 1102112122211.

It is not an unprimeable number, because it can be changed into a prime (1102112122213) 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, 1389800 + ... + 2033658.

It is an arithmetic number, because the mean of its divisors is an integer number (75679304400).

Almost surely, 2^{1102112122211} is an apocalyptic number.

1102112122211 is a deficient number, since it is larger than the sum of its proper divisors (108756748189).

1102112122211 is a wasteful number, since it uses less digits than its factorization.

1102112122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647818.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1102112122211 its reverse (1122212112011), we get a palindrome (2224324234222).

The spelling of 1102112122211 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred eleven".