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100111121261 is a prime number
BaseRepresentation
bin101110100111100010…
…1100111101101101101
3100120101220201212221222
41131033011213231231
53120011421340021
6113553532433125
710142563330124
oct1351705475555
9316356655858
10100111121261
1139503133158
121749b0187a5
139595848278
144bb9b08abb
15290dd896ab
hex174f167b6d

100111121261 has 2 divisors, whose sum is σ = 100111121262. Its totient is φ = 100111121260.

The previous prime is 100111121233. The next prime is 100111121317. The reversal of 100111121261 is 162121111001.

Adding to 100111121261 its reverse (162121111001), we get a palindrome (262232232262).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50818684900 + 49292436361 = 225430^2 + 222019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100111121261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111121861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560630 + 50055560631.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560631).

Almost surely, 2100111121261 is an apocalyptic number.

It is an amenable number.

100111121261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121261 is an equidigital number, since it uses as much as digits as its factorization.

100111121261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

The spelling of 100111121261 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, two hundred sixty-one".