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100107050101 is a prime number
BaseRepresentation
bin101110100111011011…
…0000101110001110101
3100120101122002001101021
41131032312011301311
53120004401100401
6113553305301141
710142513612632
oct1351666056165
9316348061337
10100107050101
1139500902463
12174997947b1
139594a511b6
144bb9369189
15290d8332a1
hex174ed85c75

100107050101 has 2 divisors, whose sum is σ = 100107050102. Its totient is φ = 100107050100.

The previous prime is 100107050093. The next prime is 100107050149. The reversal of 100107050101 is 101050701001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95403147876 + 4703902225 = 308874^2 + 68585^2 .

It is a cyclic number.

It is not a de Polignac number, because 100107050101 - 23 = 100107050093 is a prime.

It is a super-2 number, since 2×1001070501012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100107050201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053525050 + 50053525051.

It is an arithmetic number, because the mean of its divisors is an integer number (50053525051).

Almost surely, 2100107050101 is an apocalyptic number.

It is an amenable number.

100107050101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100107050101 is an equidigital number, since it uses as much as digits as its factorization.

100107050101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 16.

Adding to 100107050101 its reverse (101050701001), we get a palindrome (201157751102).

The spelling of 100107050101 in words is "one hundred billion, one hundred seven million, fifty thousand, one hundred one".