100138016857 has 8 divisors (see below), whose sum is σ = 101845003680. Its totient is φ = 98431354560.

The previous prime is 100138016821. The next prime is 100138016861. The reversal of 100138016857 is 758610831001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100138016857 - 2¹⁹ = 100137492569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100138016897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587857 + ... + 738817.

It is an arithmetic number, because the mean of its divisors is an integer number (12730625460).

Almost surely, 2^100138016857 is an apocalyptic number.

It is an amenable number.

100138016857 is a deficient number, since it is larger than the sum of its proper divisors (1706986823).

100138016857 is a wasteful number, since it uses less digits than its factorization.

100138016857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162263.

The product of its (nonzero) digits is 40320, while the sum is 40.

Adding to 100138016857 its reverse (758610831001), we get a palindrome (858748847858).

The spelling of 100138016857 in words is "one hundred billion, one hundred thirty-eight million, sixteen thousand, eight hundred fifty-seven".