Search a number
-
+
101211101029 is a prime number
BaseRepresentation
bin101111001000010100…
…1101101011101100101
3100200020120112122112101
41132100221231131211
53124240020213104
6114255025052101
710212051110203
oct1362051553545
9320216478471
10101211101029
1139a18034245
1217747487031
13970c6bc97c
144c81c40073
1529757195a4
hex1790a6d765

101211101029 has 2 divisors, whose sum is σ = 101211101030. Its totient is φ = 101211101028.

The previous prime is 101211101011. The next prime is 101211101041. The reversal of 101211101029 is 920101112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85866580900 + 15344520129 = 293030^2 + 123873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101211101029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211100997 and 101211101015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211101059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605550514 + 50605550515.

It is an arithmetic number, because the mean of its divisors is an integer number (50605550515).

Almost surely, 2101211101029 is an apocalyptic number.

It is an amenable number.

101211101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211101029 is an equidigital number, since it uses as much as digits as its factorization.

101211101029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101211101029 in words is "one hundred one billion, two hundred eleven million, one hundred one thousand, twenty-nine".