101141101 has 2 divisors, whose sum is σ = 101141102. Its totient is φ = 101141100.

The previous prime is 101141099. The next prime is 101141147.

101141101 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., 92736900 + 8404201 = 9630^2 + 2899^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101141101 - 2¹ = 101141099 is a prime.

It is a super-2 number, since 2×101141101² = 20459044622984402, which contains 22 as substring.

Together with 101141099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101142101) 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, 50570550 + 50570551.

It is an arithmetic number, because the mean of its divisors is an integer number (50570551).

Almost surely, 2^101141101 is an apocalyptic number.

It is an amenable number.

101141101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101141101 is an equidigital number, since it uses as much as digits as its factorization.

101141101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 101141101 is about 10056.8932081434. The cubic root of 101141101 is about 465.9177174251.

The spelling of 101141101 in words is "one hundred one million, one hundred forty-one thousand, one hundred one".