100101414000 has 240 divisors, whose sum is σ = 375418177056. Its totient is φ = 22880256000.

The previous prime is 100101413999. The next prime is 100101414029. The reversal of 100101414000 is 414101001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123760 + ... + 464240.

Almost surely, 2^100101414000 is an apocalyptic number.

100101414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187709088528).

100101414000 is an abundant number, since it is smaller than the sum of its proper divisors (275316763056).

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

100101414000 is a wasteful number, since it uses less digits than its factorization.

100101414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340521 (or 340498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100101414000 its reverse (414101001), we get a palindrome (100515515001).

The spelling of 100101414000 in words is "one hundred billion, one hundred one million, four hundred fourteen thousand".