2100212122309 has 32 divisors (see below), whose sum is σ = 2482866569216. Its totient is φ = 1738461346560.

The previous prime is 2100212122289. The next prime is 2100212122339. The reversal of 2100212122309 is 9032212120012.

It is a cyclic number.

It is not a de Polignac number, because 2100212122309 - 2¹⁵ = 2100212089541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100212122339) 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, 231627994 + ... + 231637060.

It is an arithmetic number, because the mean of its divisors is an integer number (77589580288).

Almost surely, 2^{2100212122309} is an apocalyptic number.

It is an amenable number.

2100212122309 is a deficient number, since it is larger than the sum of its proper divisors (382654446907).

2100212122309 is a wasteful number, since it uses less digits than its factorization.

2100212122309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 2100212122309 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred twenty-two thousand, three hundred nine".