10001101199967 has 12 divisors (see below), whose sum is σ = 14455710930024. Its totient is φ = 6662935016880.

The previous prime is 10001101199923. The next prime is 10001101199981. The reversal of 10001101199967 is 76999110110001.

It is not a de Polignac number, because 10001101199967 - 2¹⁰ = 10001101198943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101199267) 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 in 11 ways as a sum of consecutive naturals, for example, 372134409 + ... + 372161282.

It is an arithmetic number, because the mean of its divisors is an integer number (1204642577502).

Almost surely, 2^{10001101199967} is an apocalyptic number.

10001101199967 is a deficient number, since it is larger than the sum of its proper divisors (4454609730057).

10001101199967 is a wasteful number, since it uses less digits than its factorization.

10001101199967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744297190 (or 744297187 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 45.

The spelling of 10001101199967 in words is "ten trillion, one billion, one hundred one million, one hundred ninety-nine thousand, nine hundred sixty-seven".