10712101 has 2 divisors, whose sum is σ = 10712102. Its totient is φ = 10712100.

The previous prime is 10712087. The next prime is 10712113. The reversal of 10712101 is 10121701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6708100 + 4004001 = 2590^2 + 2001^2 .

It is a cyclic number.

It is not a de Polignac number, because 10712101 - 2⁷ = 10711973 is a prime.

It is a super-2 number, since 2×10712101² = 229498215668402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10712501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5356050 + 5356051.

It is an arithmetic number, because the mean of its divisors is an integer number (5356051).

Almost surely, 2^10712101 is an apocalyptic number.

It is an amenable number.

10712101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10712101 is an equidigital number, since it uses as much as digits as its factorization.

10712101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 10712101 is about 3272.9346159066. The cubic root of 10712101 is about 220.4405840155.

Adding to 10712101 its reverse (10121701), we get a palindrome (20833802).

The spelling of 10712101 in words is "ten million, seven hundred twelve thousand, one hundred one".