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1020202101221 is a prime number
BaseRepresentation
bin11101101100010001100…
…10001010100111100101
310121112022122020111111012
432312020302022213211
5113203333214214341
62100401355352005
7133464362531222
oct16661062124745
93545278214435
101020202101221
11363735542616
1214587b752605
13752877b4ca4
14375414da949
151b8101040eb
hexed88c8a9e5

1020202101221 has 2 divisors, whose sum is σ = 1020202101222. Its totient is φ = 1020202101220.

The previous prime is 1020202101179. The next prime is 1020202101263. The reversal of 1020202101221 is 1221012020201.

1020202101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1020202101179) and next prime (1020202101263).

It can be written as a sum of positive squares in only one way, i.e., 971188569121 + 49013532100 = 985489^2 + 221390^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020202101221 - 230 = 1019128359397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020202101196 and 1020202101205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020202106221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510101050610 + 510101050611.

It is an arithmetic number, because the mean of its divisors is an integer number (510101050611).

Almost surely, 21020202101221 is an apocalyptic number.

It is an amenable number.

1020202101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020202101221 is an equidigital number, since it uses as much as digits as its factorization.

1020202101221 is an evil number, because the sum of its binary digits is even.

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

Adding to 1020202101221 its reverse (1221012020201), we get a palindrome (2241214121422).

The spelling of 1020202101221 in words is "one trillion, twenty billion, two hundred two million, one hundred one thousand, two hundred twenty-one".