101838101 has 2 divisors, whose sum is σ = 101838102. Its totient is φ = 101838100.

The previous prime is 101838067. The next prime is 101838151.

101838101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97318225 + 4519876 = 9865^2 + 2126^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101838101 - 2²² = 97643797 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101838151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50919050 + 50919051.

It is an arithmetic number, because the mean of its divisors is an integer number (50919051).

Almost surely, 2^101838101 is an apocalyptic number.

It is an amenable number.

101838101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101838101 is an equidigital number, since it uses as much as digits as its factorization.

101838101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 23.

The square root of 101838101 is about 10091.4865604627. The cubic root of 101838101 is about 466.9855375664.

The spelling of 101838101 in words is "one hundred one million, eight hundred thirty-eight thousand, one hundred one".