100010312001 has 6 divisors (see below), whose sum is σ = 144459339570. Its totient is φ = 66673541328.

The previous prime is 100010311981. The next prime is 100010312011. The reversal of 100010312001 is 100213010001.

It can be written as a sum of positive squares in only one way, i.e., 69664323600 + 30345988401 = 263940^2 + 174201^2 .

It is not a de Polignac number, because 100010312001 - 2¹⁴ = 100010295617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11112256889 = 100010312001 / (1 + 0 + 0 + 0 + 1 + 0 + 3 + 1 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100010312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5556128436 + ... + 5556128453.

It is an arithmetic number, because the mean of its divisors is an integer number (24076556595).

Almost surely, 2^100010312001 is an apocalyptic number.

It is an amenable number.

100010312001 is a deficient number, since it is larger than the sum of its proper divisors (44449027569).

100010312001 is a wasteful number, since it uses less digits than its factorization.

100010312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112256895 (or 11112256892 counting only the distinct ones).

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

Adding to 100010312001 its reverse (100213010001), we get a palindrome (200223322002).

The spelling of 100010312001 in words is "one hundred billion, ten million, three hundred twelve thousand, one".