101011021101157 has 2 divisors, whose sum is σ = 101011021101158. Its totient is φ = 101011021101156.

The previous prime is 101011021101091. The next prime is 101011021101181. The reversal of 101011021101157 is 751101120110101.

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., 97934596308481 + 3076424792676 = 9896191^2 + 1753974^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011021101157 - 2²³ = 101011012712549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011021101857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505510550578 + 50505510550579.

It is an arithmetic number, because the mean of its divisors is an integer number (50505510550579).

Almost surely, 2^{101011021101157} is an apocalyptic number.

It is an amenable number.

101011021101157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011021101157 is an equidigital number, since it uses as much as digits as its factorization.

101011021101157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 22.

Adding to 101011021101157 its reverse (751101120110101), we get a palindrome (852112141211258).

The spelling of 101011021101157 in words is "one hundred one trillion, eleven billion, twenty-one million, one hundred one thousand, one hundred fifty-seven".