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101011011000157 is a prime number
BaseRepresentation
bin10110111101111001110101…
…011011011101011101011101
3111020122120002000212201101101
4112331321311123131131131
5101214431022304001112
6554455452353113101
730163543005640456
oct2675716533353535
9436576060781341
10101011011000157
112a2045903a34a5
12b3b473b258791
1344493b36bac9b
141ad2d5d79012d
15ba27dca49757
hex5bde756dd75d

101011011000157 has 2 divisors, whose sum is σ = 101011011000158. Its totient is φ = 101011011000156.

The previous prime is 101011011000091. The next prime is 101011011000197. The reversal of 101011011000157 is 751000110110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82709821116036 + 18301189884121 = 9094494^2 + 4277989^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101011011000157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011011000197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505505500078 + 50505505500079.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505500079).

Almost surely, 2101011011000157 is an apocalyptic number.

It is an amenable number.

101011011000157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011011000157 is an equidigital number, since it uses as much as digits as its factorization.

101011011000157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 19.

Adding to 101011011000157 its reverse (751000110110101), we get a palindrome (852011121110258).

The spelling of 101011011000157 in words is "one hundred one trillion, eleven billion, eleven million, one hundred fifty-seven", and thus it is an aban number.