16772670101001 has 16 divisors (see below), whose sum is σ = 23540974667840. Its totient is φ = 10593092053440.

The previous prime is 16772670100981. The next prime is 16772670101063. The reversal of 16772670101001 is 10010107627761.

It is not a de Polignac number, because 16772670101001 - 2⁵ = 16772670100969 is a prime.

It is a super-3 number, since 3×16772670101001³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16772670103001) 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 15 ways as a sum of consecutive naturals, for example, 1154571 + ... + 5905791.

It is an arithmetic number, because the mean of its divisors is an integer number (1471310916740).

Almost surely, 2^{16772670101001} is an apocalyptic number.

It is an amenable number.

16772670101001 is a deficient number, since it is larger than the sum of its proper divisors (6768304566839).

16772670101001 is a wasteful number, since it uses less digits than its factorization.

16772670101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813176.

The product of its (nonzero) digits is 24696, while the sum is 39.

Adding to 16772670101001 its reverse (10010107627761), we get a palindrome (26782777728762).

The spelling of 16772670101001 in words is "sixteen trillion, seven hundred seventy-two billion, six hundred seventy million, one hundred one thousand, one".