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1002020122121 is a prime number
BaseRepresentation
bin11101001010011010000…
…11011010111000001001
310112210101111122021001212
432211031003122320021
5112404114122401441
62044153252422505
7132251664335624
oct16451503327011
93483344567055
101002020122121
11356a55266607
12142246617a35
137364a969a85
14366d885cdbb
151b0e8ca0eeb
hexe94d0dae09

1002020122121 has 2 divisors, whose sum is σ = 1002020122122. Its totient is φ = 1002020122120.

The previous prime is 1002020122069. The next prime is 1002020122153. The reversal of 1002020122121 is 1212210202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 699212043721 + 302808078400 = 836189^2 + 550280^2 .

It is an emirp because it is prime and its reverse (1212210202001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002020122121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002020122096 and 1002020122105.

It is not a weakly prime, because it can be changed into another prime (1002020122171) 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, 501010061060 + 501010061061.

It is an arithmetic number, because the mean of its divisors is an integer number (501010061061).

Almost surely, 21002020122121 is an apocalyptic number.

It is an amenable number.

1002020122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002020122121 is an equidigital number, since it uses as much as digits as its factorization.

1002020122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002020122121 its reverse (1212210202001), we get a palindrome (2214230324122).

The spelling of 1002020122121 in words is "one trillion, two billion, twenty million, one hundred twenty-two thousand, one hundred twenty-one".