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21122000101 is a prime number
BaseRepresentation
bin10011101010111110…
…000010010011100101
32000112000202210001001
4103222332002103211
5321224213000401
613411525433301
71345265016136
oct235276022345
960460683031
1021122000101
118a59900334
12411586b831
131cb7c8c217
14104530dc8d
158394ea601
hex4eaf824e5

21122000101 has 2 divisors, whose sum is σ = 21122000102. Its totient is φ = 21122000100.

The previous prime is 21122000083. The next prime is 21122000143. The reversal of 21122000101 is 10100022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16282015201 + 4839984900 = 127601^2 + 69570^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122000101 - 29 = 21121999589 is a prime.

It is a super-2 number, since 2×211220001012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122000401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561000050 + 10561000051.

It is an arithmetic number, because the mean of its divisors is an integer number (10561000051).

Almost surely, 221122000101 is an apocalyptic number.

It is an amenable number.

21122000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122000101 is an equidigital number, since it uses as much as digits as its factorization.

21122000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21122000101 its reverse (10100022112), we get a palindrome (31222022213).

The spelling of 21122000101 in words is "twenty-one billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.