100268027101 has 24 divisors (see below), whose sum is σ = 110584073600. Its totient is φ = 90845647200.

The previous prime is 100268027053. The next prime is 100268027137. The reversal of 100268027101 is 101720862001.

It is not a de Polignac number, because 100268027101 - 2⁹ = 100268026589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100268027101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100268027401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70165855 + ... + 70167283.

Almost surely, 2^100268027101 is an apocalyptic number.

100268027101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100268027101 is a deficient number, since it is larger than the sum of its proper divisors (10316046499).

100268027101 is a wasteful number, since it uses less digits than its factorization.

100268027101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 100268027101 its reverse (101720862001), we get a palindrome (201988889102).

The spelling of 100268027101 in words is "one hundred billion, two hundred sixty-eight million, twenty-seven thousand, one hundred one".