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1220100211081 is a prime number
BaseRepresentation
bin10001110000010011101…
…000111100000110001001
311022122021212210121222201
4101300103220330012021
5124442231123223311
62332301205520201
7154102135451353
oct21602350740611
94278255717881
101220100211081
11430494841194
12178569113061
138b09397b22b
14430a5c580d3
1521b0e64d9c1
hex11c13a3c189

1220100211081 has 2 divisors, whose sum is σ = 1220100211082. Its totient is φ = 1220100211080.

The previous prime is 1220100211079. The next prime is 1220100211123. The reversal of 1220100211081 is 1801120010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1130734489600 + 89365721481 = 1063360^2 + 298941^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220100211081 - 21 = 1220100211079 is a prime.

It is a super-3 number, since 3×12201002110813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 1220100211079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1220100211061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610050105540 + 610050105541.

It is an arithmetic number, because the mean of its divisors is an integer number (610050105541).

Almost surely, 21220100211081 is an apocalyptic number.

It is an amenable number.

1220100211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1220100211081 is an equidigital number, since it uses as much as digits as its factorization.

1220100211081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 1220100211081 in words is "one trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand, eighty-one".