2012100107 has 2 divisors, whose sum is σ = 2012100108. Its totient is φ = 2012100106.

The previous prime is 2012100091. The next prime is 2012100113. The reversal of 2012100107 is 7010012102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2012100107 - 2⁴ = 2012100091 is a prime.

It is a super-2 number, since 2×2012100107² = 8097093681178822898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012100091 and 2012100100.

It is not a weakly prime, because it can be changed into another prime (2012100137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006050053 + 1006050054.

It is an arithmetic number, because the mean of its divisors is an integer number (1006050054).

Almost surely, 2^2012100107 is an apocalyptic number.

2012100107 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012100107 is an equidigital number, since it uses as much as digits as its factorization.

2012100107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 2012100107 is about 44856.4388577604. The cubic root of 2012100107 is about 1262.4568061816.

Adding to 2012100107 its reverse (7010012102), we get a palindrome (9022112209).

The spelling of 2012100107 in words is "two billion, twelve million, one hundred thousand, one hundred seven".