Search a number
-
+
101211100157 is a prime number
BaseRepresentation
bin101111001000010100…
…1101101001111111101
3100200020120112121100002
41132100221231033331
53124240020201112
6114255025044045
710212051104516
oct1362051551775
9320216477302
10101211100157
1139a18033622
1217747486625
13970c6bc45b
144c81c3da0d
1529757191c2
hex1790a6d3fd

101211100157 has 2 divisors, whose sum is σ = 101211100158. Its totient is φ = 101211100156.

The previous prime is 101211100087. The next prime is 101211100181. The reversal of 101211100157 is 751001112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87887938681 + 13323161476 = 296459^2 + 115426^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211100157 - 220 = 101210051581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211100457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605550078 + 50605550079.

It is an arithmetic number, because the mean of its divisors is an integer number (50605550079).

Almost surely, 2101211100157 is an apocalyptic number.

It is an amenable number.

101211100157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211100157 is an equidigital number, since it uses as much as digits as its factorization.

101211100157 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 20.

Adding to 101211100157 its reverse (751001112101), we get a palindrome (852212212258).

The spelling of 101211100157 in words is "one hundred one billion, two hundred eleven million, one hundred thousand, one hundred fifty-seven".