110000101000061 has 2 divisors, whose sum is σ = 110000101000062. Its totient is φ = 110000101000060.

The previous prime is 110000101000033. The next prime is 110000101000087. The reversal of 110000101000061 is 160000101000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109246268984836 + 753832015225 = 10452094^2 + 868235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110000101000061 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000101050061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000050500030 + 55000050500031.

It is an arithmetic number, because the mean of its divisors is an integer number (55000050500031).

Almost surely, 2^{110000101000061} is an apocalyptic number.

It is an amenable number.

110000101000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000101000061 is an equidigital number, since it uses as much as digits as its factorization.

110000101000061 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 110000101000061 its reverse (160000101000011), we get a palindrome (270000202000072).

The spelling of 110000101000061 in words is "one hundred ten trillion, one hundred one million, sixty-one", and thus it is an aban number.