100061001106049 has 2 divisors, whose sum is σ = 100061001106050. Its totient is φ = 100061001106048.

The previous prime is 100061001106021. The next prime is 100061001106067. The reversal of 100061001106049 is 940601100160001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99842701905424 + 218299200625 = 9992132^2 + 467225^2 .

It is a cyclic number.

It is not a de Polignac number, because 100061001106049 - 2²⁸ = 100060732670593 is a prime.

It is not a weakly prime, because it can be changed into another prime (100061001106349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50030500553024 + 50030500553025.

It is an arithmetic number, because the mean of its divisors is an integer number (50030500553025).

Almost surely, 2^{100061001106049} is an apocalyptic number.

It is an amenable number.

100061001106049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100061001106049 is an equidigital number, since it uses as much as digits as its factorization.

100061001106049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 100061001106049 in words is "one hundred trillion, sixty-one billion, one million, one hundred six thousand, forty-nine".