101101102019 has 16 divisors (see below), whose sum is σ = 104909868672. Its totient is φ = 97367712768.

The previous prime is 101101102007. The next prime is 101101102021. The reversal of 101101102019 is 910201101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101102019 - 2²⁰ = 101100053443 is a prime.

It is a super-2 number, since 2×101101102019² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101101988 and 101101102006.

It is not an unprimeable number, because it can be changed into a prime (101101702019) 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 15 ways as a sum of consecutive naturals, for example, 1451597 + ... + 1519649.

It is an arithmetic number, because the mean of its divisors is an integer number (6556866792).

Almost surely, 2^101101102019 is an apocalyptic number.

101101102019 is a deficient number, since it is larger than the sum of its proper divisors (3808766653).

101101102019 is an equidigital number, since it uses as much as digits as its factorization.

101101102019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68606.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 101101102019 in words is "one hundred one billion, one hundred one million, one hundred two thousand, nineteen".