100101000141001 has 2 divisors, whose sum is σ = 100101000141002. Its totient is φ = 100101000141000.

The previous prime is 100101000140927. The next prime is 100101000141047. The reversal of 100101000141001 is 100141000101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51007435518601 + 49093564622400 = 7141949^2 + 7006680^2 .

It is an emirp because it is prime and its reverse (100141000101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101000141001 - 2⁷ = 100101000140873 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101000171001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500070500 + 50050500070501.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500070501).

Almost surely, 2^{100101000141001} is an apocalyptic number.

It is an amenable number.

100101000141001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101000141001 is an equidigital number, since it uses as much as digits as its factorization.

100101000141001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101000141001 its reverse (100141000101001), we get a palindrome (200242000242002).

It can be divided in two parts, 100101000 and 141001, that added together give a palindrome (100242001).

The spelling of 100101000141001 in words is "one hundred trillion, one hundred one billion, one hundred forty-one thousand, one".