101102113101 has 16 divisors (see below), whose sum is σ = 147065825088. Its totient is φ = 61270588800.

The previous prime is 101102113087. The next prime is 101102113117. The reversal of 101102113101 is 101311201101.

It is not a de Polignac number, because 101102113101 - 2⁹ = 101102112589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102113141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595945 + ... + 746561.

It is an arithmetic number, because the mean of its divisors is an integer number (9191614068).

Almost surely, 2^101102113101 is an apocalyptic number.

101102113101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102113101 is a deficient number, since it is larger than the sum of its proper divisors (45963711987).

101102113101 is a wasteful number, since it uses less digits than its factorization.

101102113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170972.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101102113101 its reverse (101311201101), we get a palindrome (202413314202).

The spelling of 101102113101 in words is "one hundred one billion, one hundred two million, one hundred thirteen thousand, one hundred one".