100102001101009 has 2 divisors, whose sum is σ = 100102001101010. Its totient is φ = 100102001101008.

The previous prime is 100102001101007. The next prime is 100102001101049. The reversal of 100102001101009 is 900101100201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53058520720384 + 47043480380625 = 7284128^2 + 6858825^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102001101009 - 2¹ = 100102001101007 is a prime.

Together with 100102001101007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100102001100983 and 100102001101001.

It is not a weakly prime, because it can be changed into another prime (100102001101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051000550504 + 50051000550505.

It is an arithmetic number, because the mean of its divisors is an integer number (50051000550505).

Almost surely, 2^{100102001101009} is an apocalyptic number.

It is an amenable number.

100102001101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102001101009 is an equidigital number, since it uses as much as digits as its factorization.

100102001101009 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 100102001101009 in words is "one hundred trillion, one hundred two billion, one million, one hundred one thousand, nine".