2100211011009 has 24 divisors (see below), whose sum is σ = 3298900611240. Its totient is φ = 1282163793408.

The previous prime is 2100211010993. The next prime is 2100211011049. The reversal of 2100211011009 is 9001101120012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1461245792400 + 638965218609 = 1208820^2 + 799353^2 .

It is not a de Polignac number, because 2100211011009 - 2⁴ = 2100211010993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100211010982 and 2100211011000.

It is not an unprimeable number, because it can be changed into a prime (2100211011049) 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 23 ways as a sum of consecutive naturals, for example, 185492574 + ... + 185503895.

It is an arithmetic number, because the mean of its divisors is an integer number (137454192135).

Almost surely, 2^{2100211011009} is an apocalyptic number.

It is an amenable number.

2100211011009 is a deficient number, since it is larger than the sum of its proper divisors (1198689600231).

2100211011009 is a wasteful number, since it uses less digits than its factorization.

2100211011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370996529 (or 370996526 counting only the distinct ones).

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

The spelling of 2100211011009 in words is "two trillion, one hundred billion, two hundred eleven million, eleven thousand, nine".