101001111010883 has 2 divisors, whose sum is σ = 101001111010884. Its totient is φ = 101001111010882.

The previous prime is 101001111010829. The next prime is 101001111010951. The reversal of 101001111010883 is 388010111100101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101001111010883 - 2²² = 101001106816579 is a prime.

It is a super-4 number, since 4×101001111010883⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (101001111010183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555505441 + 50500555505442.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555505442).

Almost surely, 2^{101001111010883} is an apocalyptic number.

101001111010883 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001111010883 is an equidigital number, since it uses as much as digits as its factorization.

101001111010883 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 26.

Adding to 101001111010883 its reverse (388010111100101), we get a palindrome (489011222110984).

The spelling of 101001111010883 in words is "one hundred one trillion, one billion, one hundred eleven million, ten thousand, eight hundred eighty-three".