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100119009901 is a prime number
BaseRepresentation
bin101110100111110001…
…1101101101001101101
3100120102110120200010211
41131033203231221231
53120020431304101
6113554413502421
710143020354101
oct1351743555155
9316373520124
10100119009901
1139507630a99
12174a17a1a11
13959737aac1
144bbab9d901
15290e8e6c51
hex174f8eda6d

100119009901 has 2 divisors, whose sum is σ = 100119009902. Its totient is φ = 100119009900.

The previous prime is 100119009883. The next prime is 100119009961. The reversal of 100119009901 is 109900911001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63680017801 + 36438992100 = 252349^2 + 190890^2 .

It is a cyclic number.

It is not a de Polignac number, because 100119009901 - 25 = 100119009869 is a prime.

It is a super-2 number, since 2×1001190099012 (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 (100119009961) 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, 50059504950 + 50059504951.

It is an arithmetic number, because the mean of its divisors is an integer number (50059504951).

Almost surely, 2100119009901 is an apocalyptic number.

It is an amenable number.

100119009901 is a deficient number, since it is larger than the sum of its proper divisors (1).

100119009901 is an equidigital number, since it uses as much as digits as its factorization.

100119009901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 100119009901 in words is "one hundred billion, one hundred nineteen million, nine thousand, nine hundred one".