1010002100019 has 16 divisors (see below), whose sum is σ = 1469128181760. Its totient is φ = 612108227360.

The previous prime is 1010002099973. The next prime is 1010002100027. The reversal of 1010002100019 is 9100012000101.

It is a cyclic number.

It is not a de Polignac number, because 1010002100019 - 2²¹ = 1010000002867 is a prime.

It is a super-2 number, since 2×1010002100019² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010002099980 and 1010002100007.

It is not an unprimeable number, because it can be changed into a prime (1010002100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180777 + ... + 1847765.

It is an arithmetic number, because the mean of its divisors is an integer number (91820511360).

Almost surely, 2^{1010002100019} is an apocalyptic number.

1010002100019 is a deficient number, since it is larger than the sum of its proper divisors (459126081741).

1010002100019 is a wasteful number, since it uses less digits than its factorization.

1010002100019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712890.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 1010002100019 in words is "one trillion, ten billion, two million, one hundred thousand, nineteen".