10111121011273 has 2 divisors, whose sum is σ = 10111121011274. Its totient is φ = 10111121011272.

The previous prime is 10111121011109. The next prime is 10111121011279. The reversal of 10111121011273 is 37211012111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6403389762064 + 3707731249209 = 2530492^2 + 1925547^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111121011273 - 2⁹ = 10111121010761 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111121011279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055560505636 + 5055560505637.

It is an arithmetic number, because the mean of its divisors is an integer number (5055560505637).

Almost surely, 2^{10111121011273} is an apocalyptic number.

It is an amenable number.

10111121011273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111121011273 is an equidigital number, since it uses as much as digits as its factorization.

10111121011273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 10111121011273 its reverse (37211012111101), we get a palindrome (47322133122374).

The spelling of 10111121011273 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, eleven thousand, two hundred seventy-three".