101114012104 has 64 divisors (see below), whose sum is σ = 218408601600. Its totient is φ = 42987945024.

The previous prime is 101114012101. The next prime is 101114012113. The reversal of 101114012104 is 401210411101.

It is not an unprimeable number, because it can be changed into a prime (101114012101) 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, 11103217 + ... + 11112319.

It is an arithmetic number, because the mean of its divisors is an integer number (3412634400).

Almost surely, 2^101114012104 is an apocalyptic number.

101114012104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101114012104 is an abundant number, since it is smaller than the sum of its proper divisors (117294589496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101114012104 is a wasteful number, since it uses less digits than its factorization.

101114012104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101114012104 its reverse (401210411101), we get a palindrome (502324423205).

The spelling of 101114012104 in words is "one hundred one billion, one hundred fourteen million, twelve thousand, one hundred four".