101122100114 has 16 divisors (see below), whose sum is σ = 173626912896. Its totient is φ = 43269357600.

The previous prime is 101122100113. The next prime is 101122100117. The reversal of 101122100114 is 411001221101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101122100113) 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 7 ways as a sum of consecutive naturals, for example, 5714627 + ... + 5732294.

It is an arithmetic number, because the mean of its divisors is an integer number (10851682056).

Almost surely, 2^101122100114 is an apocalyptic number.

101122100114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101122100114 is a deficient number, since it is larger than the sum of its proper divisors (72504812782).

101122100114 is a wasteful number, since it uses less digits than its factorization.

101122100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11447561.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122100114 its reverse (411001221101), we get a palindrome (512123321215).

The spelling of 101122100114 in words is "one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred fourteen".