100311200001 has 12 divisors (see below), whose sum is σ = 144896783460. Its totient is φ = 66872828160.

The previous prime is 100311199993. The next prime is 100311200009. The reversal of 100311200001 is 100002113001.

It is an interprime number because it is at equal distance from previous prime (100311199993) and next prime (100311200009).

It can be written as a sum of positive squares in 2 ways, for example, as 25467372225 + 74843827776 = 159585^2 + 273576^2 .

It is not a de Polignac number, because 100311200001 - 2³ = 100311199993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100311200009) 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, 676021 + ... + 810941.

It is an arithmetic number, because the mean of its divisors is an integer number (12074731955).

Almost surely, 2^100311200001 is an apocalyptic number.

It is an amenable number.

100311200001 is a deficient number, since it is larger than the sum of its proper divisors (44585583459).

100311200001 is a wasteful number, since it uses less digits than its factorization.

100311200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217536 (or 217533 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100311200001 its reverse (100002113001), we get a palindrome (200313313002).

The spelling of 100311200001 in words is "one hundred billion, three hundred eleven million, two hundred thousand, one".