1102112102211 has 16 divisors (see below), whose sum is σ = 1476729581184. Its totient is φ = 731121404864.

The previous prime is 1102112102149. The next prime is 1102112102219. The reversal of 1102112102211 is 1122012112011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1102112102211 - 2²⁶ = 1102044993347 is a prime.

It is a super-2 number, since 2×1102112102211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102112102219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879760 + ... + 1725746.

It is an arithmetic number, because the mean of its divisors is an integer number (92295598824).

Almost surely, 2^{1102112102211} is an apocalyptic number.

1102112102211 is a deficient number, since it is larger than the sum of its proper divisors (374617478973).

1102112102211 is a wasteful number, since it uses less digits than its factorization.

1102112102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848130.

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

Adding to 1102112102211 its reverse (1122012112011), we get a palindrome (2224124214222).

The spelling of 1102112102211 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred two thousand, two hundred eleven".