72110101 has 4 divisors (see below), whose sum is σ = 82411552. Its totient is φ = 61808652.

The previous prime is 72110069. The next prime is 72110117. The reversal of 72110101 is 10101127.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10101127 = 331 ⋅30517.

It is a cyclic number.

It is not a de Polignac number, because 72110101 - 2⁵ = 72110069 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 (72110131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5150715 + ... + 5150728.

It is an arithmetic number, because the mean of its divisors is an integer number (20602888).

Almost surely, 2^72110101 is an apocalyptic number.

It is an amenable number.

72110101 is a deficient number, since it is larger than the sum of its proper divisors (10301451).

72110101 is a wasteful number, since it uses less digits than its factorization.

72110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301450.

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

The square root of 72110101 is about 8491.7666595356. The cubic root of 72110101 is about 416.2287115278.

Adding to 72110101 its reverse (10101127), we get a palindrome (82211228).

The spelling of 72110101 in words is "seventy-two million, one hundred ten thousand, one hundred one".