10111022100041 has 2 divisors, whose sum is σ = 10111022100042. Its totient is φ = 10111022100040.

The previous prime is 10111022100031. The next prime is 10111022100169. The reversal of 10111022100041 is 14000122011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8029407971641 + 2081614128400 = 2833621^2 + 1442780^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111022100041 - 2¹⁸ = 10111021837897 is a prime.

It is a super-3 number, since 3×10111022100041³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111022099989 and 10111022100025.

It is not a weakly prime, because it can be changed into another prime (10111022100031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055511050020 + 5055511050021.

It is an arithmetic number, because the mean of its divisors is an integer number (5055511050021).

Almost surely, 2^{10111022100041} is an apocalyptic number.

It is an amenable number.

10111022100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111022100041 is an equidigital number, since it uses as much as digits as its factorization.

10111022100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10111022100041 its reverse (14000122011101), we get a palindrome (24111144111142).

The spelling of 10111022100041 in words is "ten trillion, one hundred eleven billion, twenty-two million, one hundred thousand, forty-one".