100001102123 has 8 divisors (see below), whose sum is σ = 108044292048. Its totient is φ = 92008026144.

The previous prime is 100001102101. The next prime is 100001102153. The reversal of 100001102123 is 321201100001.

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 100001102123 - 2⁶ = 100001102059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001102153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12524336 + ... + 12532317.

It is an arithmetic number, because the mean of its divisors is an integer number (13505536506).

Almost surely, 2^100001102123 is an apocalyptic number.

100001102123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100001102123 is a deficient number, since it is larger than the sum of its proper divisors (8043189925).

100001102123 is a wasteful number, since it uses less digits than its factorization.

100001102123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25056973.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100001102123 its reverse (321201100001), we get a palindrome (421202202124).

The spelling of 100001102123 in words is "one hundred billion, one million, one hundred two thousand, one hundred twenty-three".