101064222460101 has 8 divisors (see below), whose sum is σ = 134752566232800. Its totient is φ = 67376013497072.

The previous prime is 101064222460087. The next prime is 101064222460109.

101064222460101 is nontrivially palindromic in base 10.

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 101064222460101 - 2⁹ = 101064222459589 is a prime.

It is a super-2 number, since 2×101064222460101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101064222460109) 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 7 ways as a sum of consecutive naturals, for example, 31939995 + ... + 34961288.

It is an arithmetic number, because the mean of its divisors is an integer number (16844070779100).

Almost surely, 2^{101064222460101} is an apocalyptic number.

It is an amenable number.

101064222460101 is a deficient number, since it is larger than the sum of its proper divisors (33688343772699).

101064222460101 is an equidigital number, since it uses as much as digits as its factorization.

101064222460101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67404835.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 101064222460101 in words is "one hundred one trillion, sixty-four billion, two hundred twenty-two million, four hundred sixty thousand, one hundred one".