10100100100141 has 2 divisors, whose sum is σ = 10100100100142. Its totient is φ = 10100100100140.

The previous prime is 10100100100099. The next prime is 10100100100183. The reversal of 10100100100141 is 14100100100101.

10100100100141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10100100100099) and next prime (10100100100183).

It can be written as a sum of positive squares in only one way, i.e., 9139562895241 + 960537204900 = 3023171^2 + 980070^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100100141 - 2³³ = 10091510165549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100100841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050050070 + 5050050050071.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050050071).

Almost surely, 2^{10100100100141} is an apocalyptic number.

It is an amenable number.

10100100100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100100141 is an equidigital number, since it uses as much as digits as its factorization.

10100100100141 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 10100100100141 its reverse (14100100100101), we get a palindrome (24200200200242).

The spelling of 10100100100141 in words is "ten trillion, one hundred billion, one hundred million, one hundred thousand, one hundred forty-one".