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10101110220101 is a prime number
BaseRepresentation
bin1001001011111101100100…
…0101100010010101000101
31022202122201201221121202002
42102333121011202111011
52310444033204020401
633252215211555045
72061531633133145
oct222773105422505
938678651847662
1010101110220101
11324494742499a
1211717b545ba85
135836b8986724
1426cc797cc925
15127b46881a6b
hex92fd9162545

10101110220101 has 2 divisors, whose sum is σ = 10101110220102. Its totient is φ = 10101110220100.

The previous prime is 10101110220017. The next prime is 10101110220119. The reversal of 10101110220101 is 10102201110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8814212827876 + 1286897392225 = 2968874^2 + 1134415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101110220101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101110220121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555110050 + 5050555110051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555110051).

Almost surely, 210101110220101 is an apocalyptic number.

It is an amenable number.

10101110220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101110220101 is an equidigital number, since it uses as much as digits as its factorization.

10101110220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101110220101 its reverse (10102201110101), we get a palindrome (20203311330202).

The spelling of 10101110220101 in words is "ten trillion, one hundred one billion, one hundred ten million, two hundred twenty thousand, one hundred one".