1011011122157 has 2 divisors, whose sum is σ = 1011011122158. Its totient is φ = 1011011122156.

The previous prime is 1011011122117. The next prime is 1011011122193. The reversal of 1011011122157 is 7512211101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 791555413636 + 219455708521 = 889694^2 + 468461^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011011122157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011011122117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505561078 + 505505561079.

It is an arithmetic number, because the mean of its divisors is an integer number (505505561079).

Almost surely, 2^{1011011122157} is an apocalyptic number.

It is an amenable number.

1011011122157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011122157 is an equidigital number, since it uses as much as digits as its factorization.

1011011122157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 23.

Adding to 1011011122157 its reverse (7512211101101), we get a palindrome (8523222223258).

The spelling of 1011011122157 in words is "one trillion, eleven billion, eleven million, one hundred twenty-two thousand, one hundred fifty-seven".