14100101010100 has 72 divisors (see below), whose sum is σ = 35628028910208. Its totient is φ = 4743106742400.

The previous prime is 14100101010089. The next prime is 14100101010103. The reversal of 14100101010100 is 101010100141.

14100101010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100101010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189991216 + ... + 190065415.

It is an arithmetic number, because the mean of its divisors is an integer number (494833734864).

Almost surely, 2^{14100101010100} is an apocalyptic number.

14100101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100101010100 is an abundant number, since it is smaller than the sum of its proper divisors (21527927900108).

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

14100101010100 is a wasteful number, since it uses less digits than its factorization.

14100101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380056705 (or 380056698 counting only the distinct ones).

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

Adding to 14100101010100 its reverse (101010100141), we get a palindrome (14201111110241).

The spelling of 14100101010100 in words is "fourteen trillion, one hundred billion, one hundred one million, ten thousand, one hundred".