Search a number
-
+
101123221123 is a prime number
BaseRepresentation
bin101111000101101101…
…0011110011010000011
3100200000110011212222001
41132023122132122003
53124100021033443
6114242205324431
710206633124441
oct1361332363203
9320013155861
10101123221123
1139982470821
1217721b66717
1396c7430a22
144c742c5b91
15296cb5ad4d
hex178b69e683

101123221123 has 2 divisors, whose sum is σ = 101123221124. Its totient is φ = 101123221122.

The previous prime is 101123221099. The next prime is 101123221127. The reversal of 101123221123 is 321122321101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101123221123 is a prime.

It is a super-2 number, since 2×1011232211232 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101123221123.

It is not a weakly prime, because it can be changed into another prime (101123221127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561610561 + 50561610562.

It is an arithmetic number, because the mean of its divisors is an integer number (50561610562).

Almost surely, 2101123221123 is an apocalyptic number.

101123221123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123221123 is an equidigital number, since it uses as much as digits as its factorization.

101123221123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101123221123 its reverse (321122321101), we get a palindrome (422245542224).

The spelling of 101123221123 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty-three".