6735072101 has 16 divisors (see below), whose sum is σ = 7249099200. Its totient is φ = 6238591488.

The previous prime is 6735072077. The next prime is 6735072107. The reversal of 6735072101 is 1012705376.

It is a cyclic number.

It is not a de Polignac number, because 6735072101 - 2¹⁸ = 6734809957 is a prime.

It is a super-2 number, since 2×6735072101² = 90722392411337108402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6735072107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130955 + ... + 174983.

It is an arithmetic number, because the mean of its divisors is an integer number (453068700).

Almost surely, 2^6735072101 is an apocalyptic number.

It is an amenable number.

6735072101 is a deficient number, since it is larger than the sum of its proper divisors (514027099).

6735072101 is a wasteful number, since it uses less digits than its factorization.

6735072101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44228.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 6735072101 is about 82067.4850412756. The cubic root of 6735072101 is about 1888.4873632788.

Adding to 6735072101 its reverse (1012705376), we get a palindrome (7747777477).

The spelling of 6735072101 in words is "six billion, seven hundred thirty-five million, seventy-two thousand, one hundred one".