1011102112061 has 2 divisors, whose sum is σ = 1011102112062. Its totient is φ = 1011102112060.

The previous prime is 1011102111949. The next prime is 1011102112063. The reversal of 1011102112061 is 1602112011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986068860100 + 25033251961 = 993010^2 + 158219^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011102112061 is a prime.

Together with 1011102112063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011102112063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505551056030 + 505551056031.

It is an arithmetic number, because the mean of its divisors is an integer number (505551056031).

Almost surely, 2^{1011102112061} is an apocalyptic number.

It is an amenable number.

1011102112061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011102112061 is an equidigital number, since it uses as much as digits as its factorization.

1011102112061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1011102112061 its reverse (1602112011101), we get a palindrome (2613214123162).

The spelling of 1011102112061 in words is "one trillion, eleven billion, one hundred two million, one hundred twelve thousand, sixty-one".