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100221112909 is a prime number
BaseRepresentation
bin101110101010110100…
…1001101001001001101
3100120200120201001010201
41131111221031021031
53120223101103114
6114012502133501
710145400255361
oct1352551151115
9316616631121
10100221112909
113955a229545
121750ba21291
1395b2579898
144bca57b2a1
152918864874
hex1755a4d24d

100221112909 has 2 divisors, whose sum is σ = 100221112910. Its totient is φ = 100221112908.

The previous prime is 100221112907. The next prime is 100221112919. The reversal of 100221112909 is 909211122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98358758884 + 1862354025 = 313622^2 + 43155^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221112909 - 21 = 100221112907 is a prime.

Together with 100221112907, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221112907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110556454 + 50110556455.

It is an arithmetic number, because the mean of its divisors is an integer number (50110556455).

Almost surely, 2100221112909 is an apocalyptic number.

It is an amenable number.

100221112909 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221112909 is an equidigital number, since it uses as much as digits as its factorization.

100221112909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 100221112909 in words is "one hundred billion, two hundred twenty-one million, one hundred twelve thousand, nine hundred nine".