61001101001 has 2 divisors, whose sum is σ = 61001101002. Its totient is φ = 61001101000.

The previous prime is 61001100991. The next prime is 61001101013. The reversal of 61001101001 is 10010110016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42857280400 + 18143820601 = 207020^2 + 134699^2 .

It is a cyclic number.

It is not a de Polignac number, because 61001101001 - 2¹⁰ = 61001099977 is a prime.

It is a super-2 number, since 2×61001101001² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61001101201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30500550500 + 30500550501.

It is an arithmetic number, because the mean of its divisors is an integer number (30500550501).

Almost surely, 2^61001101001 is an apocalyptic number.

It is an amenable number.

61001101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61001101001 is an equidigital number, since it uses as much as digits as its factorization.

61001101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 61001101001 its reverse (10010110016), we get a palindrome (71011211017).

The spelling of 61001101001 in words is "sixty-one billion, one million, one hundred one thousand, one".