14101000100110 has 288 divisors, whose sum is σ = 32924318495040. Its totient is φ = 4256031436800.

The previous prime is 14101000100107. The next prime is 14101000100167. The reversal of 14101000100110 is 1100100010141.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1950611976 + ... + 1950619204.

It is an arithmetic number, because the mean of its divisors is an integer number (114320550330).

Almost surely, 2^{14101000100110} is an apocalyptic number.

14101000100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14101000100110 is an abundant number, since it is smaller than the sum of its proper divisors (18823318394930).

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

14101000100110 is a wasteful number, since it uses less digits than its factorization.

14101000100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 14101000100110 its reverse (1100100010141), we get a palindrome (15201100110251).

The spelling of 14101000100110 in words is "fourteen trillion, one hundred one billion, one hundred thousand, one hundred ten".