100001340000414 has 12 divisors (see below), whose sum is σ = 216669570000936. Its totient is φ = 33333780000132.

The previous prime is 100001340000383. The next prime is 100001340000473. The reversal of 100001340000414 is 414000043100001.

It is a super-2 number, since 2×100001340000414² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5555630000023 = 100001340000414 / (1 + 0 + 0 + 0 + 0 + 1 + 3 + 4 + 0 + 0 + 0 + 0 + 4 + 1 + 4).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2777814999994 + ... + 2777815000029.

It is an arithmetic number, because the mean of its divisors is an integer number (18055797500078).

Almost surely, 2^{100001340000414} is an apocalyptic number.

100001340000414 is an abundant number, since it is smaller than the sum of its proper divisors (116668230000522).

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

100001340000414 is a wasteful number, since it uses less digits than its factorization.

100001340000414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555630000031 (or 5555630000028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100001340000414 its reverse (414000043100001), we get a palindrome (514001383100415).

The spelling of 100001340000414 in words is "one hundred trillion, one billion, three hundred forty million, four hundred fourteen", and thus it is an aban number.