1102110010101 has 20 divisors (see below), whose sum is σ = 1646449907872. Its totient is φ = 734700715848.

The previous prime is 1102110010091. The next prime is 1102110010123. The reversal of 1102110010101 is 1010100112011.

It is not a de Polignac number, because 1102110010101 - 2¹⁸ = 1102109747957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102110010151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1201566 + ... + 1909968.

Almost surely, 2^{1102110010101} is an apocalyptic number.

It is an amenable number.

1102110010101 is a deficient number, since it is larger than the sum of its proper divisors (544339897771).

1102110010101 is an equidigital number, since it uses as much as digits as its factorization.

1102110010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727622 (or 727613 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1102110010101 its reverse (1010100112011), we get a palindrome (2112210122112).

The spelling of 1102110010101 in words is "one trillion, one hundred two billion, one hundred ten million, ten thousand, one hundred one".