100100311022981 has 2 divisors, whose sum is σ = 100100311022982. Its totient is φ = 100100311022980.

The previous prime is 100100311022977. The next prime is 100100311022983. The reversal of 100100311022981 is 189220113001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77341295472100 + 22759015550881 = 8794390^2 + 4770641^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100311022981 - 2² = 100100311022977 is a prime.

It is a super-2 number, since 2×100100311022981² (a number of 29 digits) contains 22 as substring.

Together with 100100311022983, 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 (100100311022983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050155511490 + 50050155511491.

It is an arithmetic number, because the mean of its divisors is an integer number (50050155511491).

Almost surely, 2^{100100311022981} is an apocalyptic number.

It is an amenable number.

100100311022981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100311022981 is an equidigital number, since it uses as much as digits as its factorization.

100100311022981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

Adding to 100100311022981 its reverse (189220113001001), we get a palindrome (289320424023982).

The spelling of 100100311022981 in words is "one hundred trillion, one hundred billion, three hundred eleven million, twenty-two thousand, nine hundred eighty-one".