101011000099967 has 8 divisors (see below), whose sum is σ = 102388582167120. Its totient is φ = 99638809744320.

The previous prime is 101011000099957. The next prime is 101011000099979. The reversal of 101011000099967 is 769990000110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101011000099967 - 2²⁶ = 101010932991103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000099937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1347890153 + ... + 1347965090.

It is an arithmetic number, because the mean of its divisors is an integer number (12798572770890).

Almost surely, 2^{101011000099967} is an apocalyptic number.

101011000099967 is a deficient number, since it is larger than the sum of its proper divisors (1377582067153).

101011000099967 is an equidigital number, since it uses as much as digits as its factorization.

101011000099967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695855753.

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

The spelling of 101011000099967 in words is "one hundred one trillion, eleven billion, ninety-nine thousand, nine hundred sixty-seven".