100101698667 has 12 divisors (see below), whose sum is σ = 148301248440. Its totient is φ = 66733369776.

The previous prime is 100101698659. The next prime is 100101698701. The reversal of 100101698667 is 766896101001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 100101698667 - 2³ = 100101698659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101698617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1613559 + ... + 1674447.

It is an arithmetic number, because the mean of its divisors is an integer number (12358437370).

Almost surely, 2^100101698667 is an apocalyptic number.

100101698667 is a deficient number, since it is larger than the sum of its proper divisors (48199549773).

100101698667 is an frugal number, since it uses more digits than its factorization.

100101698667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121787 (or 60892 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

Adding to 100101698667 its reverse (766896101001), we get a palindrome (866997799668).

The spelling of 100101698667 in words is "one hundred billion, one hundred one million, six hundred ninety-eight thousand, six hundred sixty-seven".