100010100114101 has 2 divisors, whose sum is σ = 100010100114102. Its totient is φ = 100010100114100.

The previous prime is 100010100114047. The next prime is 100010100114103. The reversal of 100010100114101 is 101411001010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77672670504100 + 22337429610001 = 8813210^2 + 4726249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010100114101 is a prime.

It is a super-3 number, since 3×100010100114101³ (a number of 43 digits) contains 333 as substring.

Together with 100010100114103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010100114103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050057050 + 50005050057051.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050057051).

Almost surely, 2^{100010100114101} is an apocalyptic number.

It is an amenable number.

100010100114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100114101 is an equidigital number, since it uses as much as digits as its factorization.

100010100114101 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 11.

Adding to 100010100114101 its reverse (101411001010001), we get a palindrome (201421101124102).

The spelling of 100010100114101 in words is "one hundred trillion, ten billion, one hundred million, one hundred fourteen thousand, one hundred one".