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122000200081 is a prime number
BaseRepresentation
bin111000110011111000…
…1110101000110010001
3102122220101220022011221
41301213301311012101
53444324022400311
6132013543405041
711546164406344
oct1614761650621
9378811808157
10122000200081
1147815a29041
121b789753781
13b673701806
145c94c5445b
1532908a7671
hex1c67c75191

122000200081 has 2 divisors, whose sum is σ = 122000200082. Its totient is φ = 122000200080.

The previous prime is 122000200057. The next prime is 122000200093. The reversal of 122000200081 is 180002000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108916500625 + 13083699456 = 330025^2 + 114384^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000200081 - 221 = 121998102929 is a prime.

It is a super-2 number, since 2×1220002000812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122000200031) 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, 61000100040 + 61000100041.

It is an arithmetic number, because the mean of its divisors is an integer number (61000100041).

Almost surely, 2122000200081 is an apocalyptic number.

It is an amenable number.

122000200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000200081 is an equidigital number, since it uses as much as digits as its factorization.

122000200081 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 16.

The spelling of 122000200081 in words is "one hundred twenty-two billion, two hundred thousand, eighty-one".