2100011101009 has 2 divisors, whose sum is σ = 2100011101010. Its totient is φ = 2100011101008.

The previous prime is 2100011100961. The next prime is 2100011101127. The reversal of 2100011101009 is 9001011100012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1832828592400 + 267182508609 = 1353820^2 + 516897^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100011101009 - 2¹⁵ = 2100011068241 is a prime.

It is a super-2 number, since 2×2100011101009² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100011100983 and 2100011101001.

It is not a weakly prime, because it can be changed into another prime (2100011101609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050005550504 + 1050005550505.

It is an arithmetic number, because the mean of its divisors is an integer number (1050005550505).

Almost surely, 2^{2100011101009} is an apocalyptic number.

It is an amenable number.

2100011101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100011101009 is an equidigital number, since it uses as much as digits as its factorization.

2100011101009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 2100011101009 in words is "two trillion, one hundred billion, eleven million, one hundred one thousand, nine".