61106010001 has 2 divisors, whose sum is σ = 61106010002. Its totient is φ = 61106010000.

The previous prime is 61106009983. The next prime is 61106010019. The reversal of 61106010001 is 10001060116.

It is a balanced prime because it is at equal distance from previous prime (61106009983) and next prime (61106010019).

It can be written as a sum of positive squares in only one way, i.e., 46173414400 + 14932595601 = 214880^2 + 122199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61106010001 is a prime.

It is not a weakly prime, because it can be changed into another prime (61106010071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30553005000 + 30553005001.

It is an arithmetic number, because the mean of its divisors is an integer number (30553005001).

Almost surely, 2^61106010001 is an apocalyptic number.

It is an amenable number.

61106010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61106010001 is an equidigital number, since it uses as much as digits as its factorization.

61106010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 61106010001 its reverse (10001060116), we get a palindrome (71107070117).

The spelling of 61106010001 in words is "sixty-one billion, one hundred six million, ten thousand, one".