10001001101153 has 2 divisors, whose sum is σ = 10001001101154. Its totient is φ = 10001001101152.

The previous prime is 10001001101141. The next prime is 10001001101233. The reversal of 10001001101153 is 35110110010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9437288448289 + 563712652864 = 3072017^2 + 750808^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001001101153 - 2⁸ = 10001001100897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001001103153) 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, 5000500550576 + 5000500550577.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500550577).

Almost surely, 2^{10001001101153} is an apocalyptic number.

It is an amenable number.

10001001101153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001101153 is an equidigital number, since it uses as much as digits as its factorization.

10001001101153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 14.

Adding to 10001001101153 its reverse (35110110010001), we get a palindrome (45111111111154).

The spelling of 10001001101153 in words is "ten trillion, one billion, one million, one hundred one thousand, one hundred fifty-three".