1102112211101 has 12 divisors (see below), whose sum is σ = 1219542901500. Its totient is φ = 995195879040.

The previous prime is 1102112211097. The next prime is 1102112211103. The reversal of 1102112211101 is 1011122112011.

It can be written as a sum of positive squares in 2 ways, for example, as 51302703001 + 1050809508100 = 226501^2 + 1025090^2 .

It is not a de Polignac number, because 1102112211101 - 2² = 1102112211097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102112211103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30546956 + ... + 30583013.

It is an arithmetic number, because the mean of its divisors is an integer number (101628575125).

Almost surely, 2^{1102112211101} is an apocalyptic number.

1102112211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102112211101 is a deficient number, since it is larger than the sum of its proper divisors (117430690399).

1102112211101 is a wasteful number, since it uses less digits than its factorization.

1102112211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61130140 (or 61130129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1102112211101 its reverse (1011122112011), we get a palindrome (2113234323112).

The spelling of 1102112211101 in words is "one trillion, one hundred two billion, one hundred twelve million, two hundred eleven thousand, one hundred one".