1011011102161 has 2 divisors, whose sum is σ = 1011011102162. Its totient is φ = 1011011102160.

The previous prime is 1011011102119. The next prime is 1011011102209. The reversal of 1011011102161 is 1612011101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 942501180625 + 68509921536 = 970825^2 + 261744^2 .

It is an emirp because it is prime and its reverse (1612011101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011011102161 - 2²¹ = 1011009005009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011011103161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505551080 + 505505551081.

It is an arithmetic number, because the mean of its divisors is an integer number (505505551081).

Almost surely, 2^{1011011102161} is an apocalyptic number.

It is an amenable number.

1011011102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011102161 is an equidigital number, since it uses as much as digits as its factorization.

1011011102161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 1011011102161 its reverse (1612011101101), we get a palindrome (2623022203262).

The spelling of 1011011102161 in words is "one trillion, eleven billion, eleven million, one hundred two thousand, one hundred sixty-one".