10210101000219 has 16 divisors (see below), whose sum is σ = 15126280345600. Its totient is φ = 6806641844808.

The previous prime is 10210101000191. The next prime is 10210101000259. The reversal of 10210101000219 is 91200010101201.

It is a happy number.

It is not a de Polignac number, because 10210101000219 - 2³² = 10205806032923 is a prime.

It is a super-3 number, since 3×10210101000219³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10210101000259) 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, 498499 + ... + 4546284.

It is an arithmetic number, because the mean of its divisors is an integer number (945392521600).

Almost surely, 2^{10210101000219} is an apocalyptic number.

10210101000219 is a deficient number, since it is larger than the sum of its proper divisors (4916179345381).

10210101000219 is an equidigital number, since it uses as much as digits as its factorization.

10210101000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119751 (or 5119745 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10210101000219 in words is "ten trillion, two hundred ten billion, one hundred one million, two hundred nineteen", and thus it is an aban number.