100301114414000 has 160 divisors (see below), whose sum is σ = 253167220725120. Its totient is φ = 38361759744000.

The previous prime is 100301114413999. The next prime is 100301114414021. The reversal of 100301114414000 is 414411103001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123288560 + ... + 124099440.

It is an arithmetic number, because the mean of its divisors is an integer number (1582295129532).

Almost surely, 2^{100301114414000} is an apocalyptic number.

100301114414000 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 100301114414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126583610362560).

100301114414000 is an abundant number, since it is smaller than the sum of its proper divisors (152866106311120).

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

100301114414000 is a wasteful number, since it uses less digits than its factorization.

100301114414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813616 (or 813600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100301114414000 its reverse (414411103001), we get a palindrome (100715525517001).

The spelling of 100301114414000 in words is "one hundred trillion, three hundred one billion, one hundred fourteen million, four hundred fourteen thousand".