100314040701001 has 2 divisors, whose sum is σ = 100314040701002. Its totient is φ = 100314040701000.

The previous prime is 100314040700989. The next prime is 100314040701019. The reversal of 100314040701001 is 100107040413001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62063514241600 + 38250526459401 = 7878040^2 + 6184701^2 .

It is a cyclic number.

It is not a de Polignac number, because 100314040701001 - 2¹¹ = 100314040698953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100314040701401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50157020350500 + 50157020350501.

It is an arithmetic number, because the mean of its divisors is an integer number (50157020350501).

Almost surely, 2^{100314040701001} is an apocalyptic number.

It is an amenable number.

100314040701001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100314040701001 is an equidigital number, since it uses as much as digits as its factorization.

100314040701001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 100314040701001 in words is "one hundred trillion, three hundred fourteen billion, forty million, seven hundred one thousand, one".