101001002020019 has 16 divisors (see below), whose sum is σ = 104615929978560. Its totient is φ = 97446376496640.

The previous prime is 101001002020013. The next prime is 101001002020027. The reversal of 101001002020019 is 910020200100101.

It is a cyclic number.

It is not a de Polignac number, because 101001002020019 - 2⁴⁴ = 83408815975603 is a prime.

It is a super-2 number, since 2×101001002020019² (a number of 29 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 = 101001002019979 and 101001002020006.

It is not an unprimeable number, because it can be changed into a prime (101001002020013) 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, 32707724 + ... + 35662265.

It is an arithmetic number, because the mean of its divisors is an integer number (6538495623660).

Almost surely, 2^{101001002020019} is an apocalyptic number.

101001002020019 is a deficient number, since it is larger than the sum of its proper divisors (3614927958541).

101001002020019 is a wasteful number, since it uses less digits than its factorization.

101001002020019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68370430.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101001002020019 in words is "one hundred one trillion, one billion, two million, twenty thousand, nineteen".