10872101 has 2 divisors, whose sum is σ = 10872102. Its totient is φ = 10872100.

The previous prime is 10872097. The next prime is 10872131. The reversal of 10872101 is 10127801.

10872101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7431076 + 3441025 = 2726^2 + 1855^2 .

It is a cyclic number.

It is not a de Polignac number, because 10872101 - 2² = 10872097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10872131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5436050 + 5436051.

It is an arithmetic number, because the mean of its divisors is an integer number (5436051).

Almost surely, 2^10872101 is an apocalyptic number.

It is an amenable number.

10872101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10872101 is an equidigital number, since it uses as much as digits as its factorization.

10872101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 10872101 is about 3297.2869150257. The cubic root of 10872101 is about 221.5326925810.

Adding to 10872101 its reverse (10127801), we get a palindrome (20999902).

The spelling of 10872101 in words is "ten million, eight hundred seventy-two thousand, one hundred one".