100072215167011 has 8 divisors (see below), whose sum is σ = 100226240711744. Its totient is φ = 99918247222080.

The previous prime is 100072215166997. The next prime is 100072215167039. The reversal of 100072215167011 is 110761512270001.

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 100072215167011 - 2¹³ = 100072215158819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100072215167051) 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 7 ways as a sum of consecutive naturals, for example, 10921890 + ... + 17872663.

It is an arithmetic number, because the mean of its divisors is an integer number (12528280088968).

Almost surely, 2^{100072215167011} is an apocalyptic number.

100072215167011 is a deficient number, since it is larger than the sum of its proper divisors (154025544733).

100072215167011 is an equidigital number, since it uses as much as digits as its factorization.

100072215167011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28799901.

The product of its (nonzero) digits is 5880, while the sum is 34.

The spelling of 100072215167011 in words is "one hundred trillion, seventy-two billion, two hundred fifteen million, one hundred sixty-seven thousand, eleven".