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1220102121193 is a prime number
BaseRepresentation
bin10001110000010011110…
…000001110011011101001
311022122022000101200011121
4101300103300032123221
5124442232120334233
62332301314455241
7154102160625244
oct21602360163351
94278260350147
101220102121193
1143049592629a
12178569894521
138b094199787
14430a61d425b
1521b0e8c992d
hex11c13c0e6e9

1220102121193 has 2 divisors, whose sum is σ = 1220102121194. Its totient is φ = 1220102121192.

The previous prime is 1220102121191. The next prime is 1220102121229. The reversal of 1220102121193 is 3911212010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 737171636569 + 482930484624 = 858587^2 + 694932^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220102121193 - 21 = 1220102121191 is a prime.

It is a super-2 number, since 2×12201021211932 (a number of 25 digits) contains 22 as substring.

Together with 1220102121191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1220102121191) 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, 610051060596 + 610051060597.

It is an arithmetic number, because the mean of its divisors is an integer number (610051060597).

Almost surely, 21220102121193 is an apocalyptic number.

It is an amenable number.

1220102121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1220102121193 is an equidigital number, since it uses as much as digits as its factorization.

1220102121193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 1220102121193 in words is "one trillion, two hundred twenty billion, one hundred two million, one hundred twenty-one thousand, one hundred ninety-three".