20101131121009 has 2 divisors, whose sum is σ = 20101131121010. Its totient is φ = 20101131121008.

The previous prime is 20101131121007. The next prime is 20101131121063. The reversal of 20101131121009 is 90012113110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19773781219984 + 327349901025 = 4446772^2 + 572145^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101131121009 - 2¹ = 20101131121007 is a prime.

Together with 20101131121007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20101131121003) 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, 10050565560504 + 10050565560505.

It is an arithmetic number, because the mean of its divisors is an integer number (10050565560505).

Almost surely, 2^{20101131121009} is an apocalyptic number.

It is an amenable number.

20101131121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101131121009 is an equidigital number, since it uses as much as digits as its factorization.

20101131121009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 20101131121009 in words is "twenty trillion, one hundred one billion, one hundred thirty-one million, one hundred twenty-one thousand, nine".