101101022009941 has 2 divisors, whose sum is σ = 101101022009942. Its totient is φ = 101101022009940.

The previous prime is 101101022009929. The next prime is 101101022010011. The reversal of 101101022009941 is 149900220101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65991723413841 + 35109298596100 = 8123529^2 + 5925310^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101022009941 - 2⁵ = 101101022009909 is a prime.

It is a super-3 number, since 3×101101022009941³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101022009041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550511004970 + 50550511004971.

It is an arithmetic number, because the mean of its divisors is an integer number (50550511004971).

Almost surely, 2^{101101022009941} is an apocalyptic number.

It is an amenable number.

101101022009941 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101022009941 is an equidigital number, since it uses as much as digits as its factorization.

101101022009941 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 31.

The spelling of 101101022009941 in words is "one hundred one trillion, one hundred one billion, twenty-two million, nine thousand, nine hundred forty-one".