100011314401035 has 64 divisors (see below), whose sum is σ = 166559770091520. Its totient is φ = 51203015751680.

The previous prime is 100011314401027. The next prime is 100011314401067. The reversal of 100011314401035 is 530104413110001.

It is not a de Polignac number, because 100011314401035 - 2³ = 100011314401027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011314400996 and 100011314401014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116112355 + ... + 116970515.

It is an arithmetic number, because the mean of its divisors is an integer number (2602496407680).

Almost surely, 2^{100011314401035} is an apocalyptic number.

100011314401035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100011314401035 is a deficient number, since it is larger than the sum of its proper divisors (66548455690485).

100011314401035 is a wasteful number, since it uses less digits than its factorization.

100011314401035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861388.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 100011314401035 its reverse (530104413110001), we get a palindrome (630115727511036).

The spelling of 100011314401035 in words is "one hundred trillion, eleven billion, three hundred fourteen million, four hundred one thousand, thirty-five".