72010100100001 has 4 divisors (see below), whose sum is σ = 82297257257152. Its totient is φ = 61722942942852.

The previous prime is 72010100099983. The next prime is 72010100100073. The reversal of 72010100100001 is 10000100101027.

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.

It is a cyclic number.

It is not a de Polignac number, because 72010100100001 - 2⁴⁵ = 36825728011169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72010100100101) 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, 5143578578565 + ... + 5143578578578.

It is an arithmetic number, because the mean of its divisors is an integer number (20574314314288).

Almost surely, 2^{72010100100001} is an apocalyptic number.

It is an amenable number.

72010100100001 is a deficient number, since it is larger than the sum of its proper divisors (10287157157151).

72010100100001 is a wasteful number, since it uses less digits than its factorization.

72010100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287157157150.

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

Adding to 72010100100001 its reverse (10000100101027), we get a palindrome (82010200201028).

The spelling of 72010100100001 in words is "seventy-two trillion, ten billion, one hundred million, one hundred thousand, one".