101021110100873 has 2 divisors, whose sum is σ = 101021110100874. Its totient is φ = 101021110100872.

The previous prime is 101021110100861. The next prime is 101021110100903. The reversal of 101021110100873 is 378001011120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88549003362304 + 12472106738569 = 9410048^2 + 3531587^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021110100873 - 2⁴ = 101021110100857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021110100843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510555050436 + 50510555050437.

It is an arithmetic number, because the mean of its divisors is an integer number (50510555050437).

Almost surely, 2^{101021110100873} is an apocalyptic number.

It is an amenable number.

101021110100873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021110100873 is an equidigital number, since it uses as much as digits as its factorization.

101021110100873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 26.

Adding to 101021110100873 its reverse (378001011120101), we get a palindrome (479022121220974).

The spelling of 101021110100873 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, one hundred thousand, eight hundred seventy-three".