100131010344001 has 32 divisors (see below), whose sum is σ = 123321779974400. Its totient is φ = 79170798746880.

The previous prime is 100131010343977. The next prime is 100131010344011. The reversal of 100131010344001 is 100443010131001.

It is a cyclic number.

It is not a de Polignac number, because 100131010344001 - 2⁷ = 100131010343873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100131010344001.

It is not an unprimeable number, because it can be changed into a prime (100131010344011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073986255 + ... + 1074079483.

It is an arithmetic number, because the mean of its divisors is an integer number (3853805624200).

Almost surely, 2^{100131010344001} is an apocalyptic number.

It is an amenable number.

100131010344001 is a deficient number, since it is larger than the sum of its proper divisors (23190769630399).

100131010344001 is a wasteful number, since it uses less digits than its factorization.

100131010344001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101129.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100131010344001 its reverse (100443010131001), we get a palindrome (200574020475002).

The spelling of 100131010344001 in words is "one hundred trillion, one hundred thirty-one billion, ten million, three hundred forty-four thousand, one".