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21212100020129 is a prime number
BaseRepresentation
bin1001101001010110100111…
…01011111100011110100001
32210002212010201111022210212
410310223103223330132201
510240014340101121004
6113040412040103505
74316344420136354
oct464532353743641
983085121438725
1021212100020129
116839001510367
122467069464b95
13bab3a5682c65
1453495779c29b
1526bb96e9c96e
hex134ad3afc7a1

21212100020129 has 2 divisors, whose sum is σ = 21212100020130. Its totient is φ = 21212100020128.

The previous prime is 21212100020117. The next prime is 21212100020147. The reversal of 21212100020129 is 92102000121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17499772992529 + 3712327027600 = 4183273^2 + 1926740^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212100020129 - 24 = 21212100020113 is a prime.

It is a super-3 number, since 3×212121000201293 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21212100020729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606050010064 + 10606050010065.

It is an arithmetic number, because the mean of its divisors is an integer number (10606050010065).

Almost surely, 221212100020129 is an apocalyptic number.

It is an amenable number.

21212100020129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212100020129 is an equidigital number, since it uses as much as digits as its factorization.

21212100020129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 21212100020129 in words is "twenty-one trillion, two hundred twelve billion, one hundred million, twenty thousand, one hundred twenty-nine".