72000110101 has 16 divisors (see below), whose sum is σ = 76032040000. Its totient is φ = 67992690816.

The previous prime is 72000110029. The next prime is 72000110129. The reversal of 72000110101 is 10101100027.

It is a cyclic number.

It is not a de Polignac number, because 72000110101 - 2¹³ = 72000101909 is a prime.

It is a super-2 number, since 2×72000110101² (a number of 23 digits) 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 (72000114101) 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, 13899730 + ... + 13904908.

It is an arithmetic number, because the mean of its divisors is an integer number (4752002500).

Almost surely, 2^72000110101 is an apocalyptic number.

It is an amenable number.

72000110101 is a deficient number, since it is larger than the sum of its proper divisors (4031929899).

72000110101 is a wasteful number, since it uses less digits than its factorization.

72000110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 72000110101 its reverse (10101100027), we get a palindrome (82101210128).

The spelling of 72000110101 in words is "seventy-two billion, one hundred ten thousand, one hundred one".