101010100019 has 16 divisors (see below), whose sum is σ = 104021377920. Its totient is φ = 98043903360.

The previous prime is 101010100003. The next prime is 101010100043. The reversal of 101010100019 is 910001010101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101010100019 - 2⁴ = 101010100003 is a prime.

It is a super-2 number, since 2×101010100019² (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 = 101010099976 and 101010100012.

It is not an unprimeable number, because it can be changed into a prime (101010108019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11353937 + ... + 11362829.

It is an arithmetic number, because the mean of its divisors is an integer number (6501336120).

Almost surely, 2^101010100019 is an apocalyptic number.

101010100019 is a deficient number, since it is larger than the sum of its proper divisors (3011277901).

101010100019 is an equidigital number, since it uses as much as digits as its factorization.

101010100019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101010100019 in words is "one hundred one billion, ten million, one hundred thousand, nineteen".