10172072111 has 8 divisors (see below), whose sum is σ = 10772337744. Its totient is φ = 9572018560.

The previous prime is 10172072083. The next prime is 10172072147. The reversal of 10172072111 is 11127027101.

10172072111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10172072111 - 2¹⁴ = 10172055727 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 (10172072171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51656 + ... + 151698.

It is an arithmetic number, because the mean of its divisors is an integer number (1346542218).

Almost surely, 2^10172072111 is an apocalyptic number.

10172072111 is a deficient number, since it is larger than the sum of its proper divisors (600265633).

10172072111 is a wasteful number, since it uses less digits than its factorization.

10172072111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106041.

The product of its (nonzero) digits is 196, while the sum is 23.

Adding to 10172072111 its reverse (11127027101), we get a palindrome (21299099212).

The spelling of 10172072111 in words is "ten billion, one hundred seventy-two million, seventy-two thousand, one hundred eleven".