10575870101 has 2 divisors, whose sum is σ = 10575870102. Its totient is φ = 10575870100.

The previous prime is 10575870061. The next prime is 10575870103. The reversal of 10575870101 is 10107857501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7992181201 + 2583688900 = 89399^2 + 50830^2 .

It is a cyclic number.

It is not a de Polignac number, because 10575870101 - 2¹⁸ = 10575607957 is a prime.

It is a super-2 number, since 2×10575870101² (a number of 21 digits) contains 22 as substring.

Together with 10575870103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10575870103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5287935050 + 5287935051.

It is an arithmetic number, because the mean of its divisors is an integer number (5287935051).

Almost surely, 2^10575870101 is an apocalyptic number.

It is an amenable number.

10575870101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10575870101 is an equidigital number, since it uses as much as digits as its factorization.

10575870101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9800, while the sum is 35.

The spelling of 10575870101 in words is "ten billion, five hundred seventy-five million, eight hundred seventy thousand, one hundred one".