101040090881 has 2 divisors, whose sum is σ = 101040090882. Its totient is φ = 101040090880.

The previous prime is 101040090863. The next prime is 101040090889. The reversal of 101040090881 is 188090040101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90110433856 + 10929657025 = 300184^2 + 104545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101040090881 is a prime.

It is a super-2 number, since 2×101040090881² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101040090889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520045440 + 50520045441.

It is an arithmetic number, because the mean of its divisors is an integer number (50520045441).

Almost surely, 2^101040090881 is an apocalyptic number.

It is an amenable number.

101040090881 is a deficient number, since it is larger than the sum of its proper divisors (1).

101040090881 is an equidigital number, since it uses as much as digits as its factorization.

101040090881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 101040090881 in words is "one hundred one billion, forty million, ninety thousand, eight hundred eighty-one".