10011001099967 has 24 divisors (see below), whose sum is σ = 11732903955360. Its totient is φ = 8367351148800.

The previous prime is 10011001099951. The next prime is 10011001100059. The reversal of 10011001099967 is 76999010011001.

It is not a de Polignac number, because 10011001099967 - 2⁴ = 10011001099951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001099907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7135259 + ... + 8422227.

It is an arithmetic number, because the mean of its divisors is an integer number (488870998140).

Almost surely, 2^{10011001099967} is an apocalyptic number.

10011001099967 is a deficient number, since it is larger than the sum of its proper divisors (1721902855393).

10011001099967 is an equidigital number, since it uses as much as digits as its factorization.

10011001099967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287663 (or 1287620 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 44.

The spelling of 10011001099967 in words is "ten trillion, eleven billion, one million, ninety-nine thousand, nine hundred sixty-seven".