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101111220121 is a prime number
BaseRepresentation
bin101111000101010110…
…0101100011110011001
3100122222121121011200111
41132022230230132121
53124033433020441
6114241100204321
710206426122212
oct1361254543631
9318877534614
10101111220121
113997671423a
1217719b396a1
1396c4abb442
144c72880409
15296ba8a081
hex178ab2c799

101111220121 has 2 divisors, whose sum is σ = 101111220122. Its totient is φ = 101111220120.

The previous prime is 101111220109. The next prime is 101111220131. The reversal of 101111220121 is 121022111101.

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., 96386032521 + 4725187600 = 310461^2 + 68740^2 .

It is an emirp because it is prime and its reverse (121022111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111220121 - 221 = 101109122969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111220131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555610060 + 50555610061.

It is an arithmetic number, because the mean of its divisors is an integer number (50555610061).

Almost surely, 2101111220121 is an apocalyptic number.

It is an amenable number.

101111220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111220121 is an equidigital number, since it uses as much as digits as its factorization.

101111220121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101111220121 its reverse (121022111101), we get a palindrome (222133331222).

The spelling of 101111220121 in words is "one hundred one billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty-one".