2100010010219 has 32 divisors (see below), whose sum is σ = 2414764776960. Its totient is φ = 1807587936000.

The previous prime is 2100010010213. The next prime is 2100010010233. The reversal of 2100010010219 is 9120100100012.

It is not a de Polignac number, because 2100010010219 - 2²⁰ = 2100008961643 is a prime.

It is a super-2 number, since 2×2100010010219² (a number of 25 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 = 2100010010197 and 2100010010206.

It is not an unprimeable number, because it can be changed into a prime (2100010010213) 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 31 ways as a sum of consecutive naturals, for example, 158856392 + ... + 158869610.

It is an arithmetic number, because the mean of its divisors is an integer number (75461399280).

Almost surely, 2^{2100010010219} is an apocalyptic number.

2100010010219 is a deficient number, since it is larger than the sum of its proper divisors (314754766741).

2100010010219 is a wasteful number, since it uses less digits than its factorization.

2100010010219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19571.

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

The spelling of 2100010010219 in words is "two trillion, one hundred billion, ten million, ten thousand, two hundred nineteen".