100111240001 has 32 divisors (see below), whose sum is σ = 106333129728. Its totient is φ = 94143938560.

The previous prime is 100111239971. The next prime is 100111240037. The reversal of 100111240001 is 100042111001.

It is a cyclic number.

It is not a de Polignac number, because 100111240001 - 2¹⁰ = 100111238977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111240091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36363041 + ... + 36365793.

It is an arithmetic number, because the mean of its divisors is an integer number (3322910304).

Almost surely, 2^100111240001 is an apocalyptic number.

It is an amenable number.

100111240001 is a deficient number, since it is larger than the sum of its proper divisors (6221889727).

100111240001 is a wasteful number, since it uses less digits than its factorization.

100111240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100111240001 its reverse (100042111001), we get a palindrome (200153351002).

The spelling of 100111240001 in words is "one hundred billion, one hundred eleven million, two hundred forty thousand, one".