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20122121101 is a prime number
BaseRepresentation
bin10010101111010111…
…110011001110001101
31220221100022122220111
4102233113303032031
5312202230333401
613124410520021
71311434131045
oct225727631615
956840278814
1020122121101
11859645a455
123a96a36011
131b88a95144
14d8c5d4725
157cb83ee51
hex4af5f338d

20122121101 has 2 divisors, whose sum is σ = 20122121102. Its totient is φ = 20122121100.

The previous prime is 20122121099. The next prime is 20122121141. The reversal of 20122121101 is 10112122102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18557523076 + 1564598025 = 136226^2 + 39555^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122121101 - 21 = 20122121099 is a prime.

Together with 20122121099, 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 (20122121141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061060550 + 10061060551.

It is an arithmetic number, because the mean of its divisors is an integer number (10061060551).

Almost surely, 220122121101 is an apocalyptic number.

It is an amenable number.

20122121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122121101 is an equidigital number, since it uses as much as digits as its factorization.

20122121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20122121101 its reverse (10112122102), we get a palindrome (30234243203).

The spelling of 20122121101 in words is "twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred one".