101000103119 has 12 divisors (see below), whose sum is σ = 108606936456. Its totient is φ = 93878926128.

The previous prime is 101000103107. The next prime is 101000103131. The reversal of 101000103119 is 911301000101.

It is an interprime number because it is at equal distance from previous prime (101000103107) and next prime (101000103131).

It is not a de Polignac number, because 101000103119 - 2¹² = 101000099023 is a prime.

It is a super-4 number, since 4×101000103119⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000103097 and 101000103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000703119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2620289 + ... + 2658554.

It is an arithmetic number, because the mean of its divisors is an integer number (9050578038).

Almost surely, 2^101000103119 is an apocalyptic number.

101000103119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101000103119 is a deficient number, since it is larger than the sum of its proper divisors (7606833337).

101000103119 is an equidigital number, since it uses as much as digits as its factorization.

101000103119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278934 (or 5278915 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 101000103119 in words is "one hundred one billion, one hundred three thousand, one hundred nineteen".