1102100212101 has 32 divisors (see below), whose sum is σ = 1716935086080. Its totient is φ = 615720764736.

The previous prime is 1102100212093. The next prime is 1102100212123. The reversal of 1102100212101 is 1012120012011.

It is not a de Polignac number, because 1102100212101 - 2³ = 1102100212093 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 (1102100212151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345135 + ... + 1524243.

It is an arithmetic number, because the mean of its divisors is an integer number (53654221440).

Almost surely, 2^{1102100212101} is an apocalyptic number.

It is an amenable number.

1102100212101 is a deficient number, since it is larger than the sum of its proper divisors (614834873979).

1102100212101 is a wasteful number, since it uses less digits than its factorization.

1102100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180113.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102100212101 its reverse (1012120012011), we get a palindrome (2114220224112).

The spelling of 1102100212101 in words is "one trillion, one hundred two billion, one hundred million, two hundred twelve thousand, one hundred one".