10072201101 has 8 divisors (see below), whose sum is σ = 14013497280. Its totient is φ = 6422852832.

The previous prime is 10072201057. The next prime is 10072201121. The reversal of 10072201101 is 10110227001.

10072201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10072201101 - 2¹³ = 10072192909 is a prime.

It is a super-2 number, since 2×10072201101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072201121) 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 7 ways as a sum of consecutive naturals, for example, 72986896 + ... + 72987033.

It is an arithmetic number, because the mean of its divisors is an integer number (1751687160).

Almost surely, 2^10072201101 is an apocalyptic number.

It is an amenable number.

10072201101 is a deficient number, since it is larger than the sum of its proper divisors (3941296179).

10072201101 is a wasteful number, since it uses less digits than its factorization.

10072201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145973955.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 10072201101 its reverse (10110227001), we get a palindrome (20182428102).

The spelling of 10072201101 in words is "ten billion, seventy-two million, two hundred one thousand, one hundred one".