72101101101011 has 4 divisors (see below), whose sum is σ = 73283086365024. Its totient is φ = 70919115837000.

The previous prime is 72101101100999. The next prime is 72101101101023. The reversal of 72101101101011 is 11010110110127.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (72101101100999) and next prime (72101101101023).

It is a cyclic number.

It is not a de Polignac number, because 72101101101011 - 2¹⁴ = 72101101084627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72101101101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 590992631915 + ... + 590992632036.

It is an arithmetic number, because the mean of its divisors is an integer number (18320771591256).

Almost surely, 2^{72101101101011} is an apocalyptic number.

72101101101011 is a deficient number, since it is larger than the sum of its proper divisors (1181985264013).

72101101101011 is a wasteful number, since it uses less digits than its factorization.

72101101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181985264012.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 72101101101011 its reverse (11010110110127), we get a palindrome (83111211211138).

The spelling of 72101101101011 in words is "seventy-two trillion, one hundred one billion, one hundred one million, one hundred one thousand, eleven".