1001000101091 has 2 divisors, whose sum is σ = 1001000101092. Its totient is φ = 1001000101090.

The previous prime is 1001000101081. The next prime is 1001000101141. The reversal of 1001000101091 is 1901010001001.

It is a happy number.

It is a weak prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1601010001001 and 1001000101061.

It is a cyclic number.

It is not a de Polignac number, because 1001000101091 - 2¹⁸ = 1000999838947 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (1001000101001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500050545 + 500500050546.

It is an arithmetic number, because the mean of its divisors is an integer number (500500050546).

Almost surely, 2^{1001000101091} is an apocalyptic number.

1001000101091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000101091 is an equidigital number, since it uses as much as digits as its factorization.

1001000101091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1001000101091 its reverse (1901010001001), we get a palindrome (2902010102092).

The spelling of 1001000101091 in words is "one trillion, one billion, one hundred one thousand, ninety-one".