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1221012112081 is a prime number
BaseRepresentation
bin10001110001001001111…
…111100100001011010001
311022201122102200222222211
4101301021333210023101
5130001113100041311
62332531503032121
7154133550465016
oct21611177441321
94281572628884
101221012112081
11430912561983
1217878259b641
138b1aa880818
1443150dd170d
1521b6472b821
hex11c49fe42d1

1221012112081 has 2 divisors, whose sum is σ = 1221012112082. Its totient is φ = 1221012112080.

The previous prime is 1221012112043. The next prime is 1221012112129. The reversal of 1221012112081 is 1802112101221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1208055981456 + 12956130625 = 1099116^2 + 113825^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221012112081 - 211 = 1221012110033 is a prime.

It is a super-2 number, since 2×12210121120812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1221012112031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610506056040 + 610506056041.

It is an arithmetic number, because the mean of its divisors is an integer number (610506056041).

Almost surely, 21221012112081 is an apocalyptic number.

It is an amenable number.

1221012112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221012112081 is an equidigital number, since it uses as much as digits as its factorization.

1221012112081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 1221012112081 in words is "one trillion, two hundred twenty-one billion, twelve million, one hundred twelve thousand, eighty-one".