Search a number
-
+
122102100212021 is a prime number
BaseRepresentation
bin11011110000110100011100…
…010011110011100100110101
3121000022211212022012001102122
4123300310130103303210311
5112001010100123241041
61111404532551445325
734501404604156646
oct3360643423634465
9530284768161378
10122102100212021
11359a6234413506
1211840256386845
135319242633c87
142221ab78836cd
15e1b250e27c4b
hex6f0d1c4f3935

122102100212021 has 2 divisors, whose sum is σ = 122102100212022. Its totient is φ = 122102100212020.

The previous prime is 122102100211963. The next prime is 122102100212033. The reversal of 122102100212021 is 120212001201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115844622976996 + 6257477235025 = 10763114^2 + 2501495^2 .

It is an emirp because it is prime and its reverse (120212001201221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122102100212021 - 218 = 122102099949877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122102100212041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051050106010 + 61051050106011.

It is an arithmetic number, because the mean of its divisors is an integer number (61051050106011).

Almost surely, 2122102100212021 is an apocalyptic number.

It is an amenable number.

122102100212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102100212021 is an equidigital number, since it uses as much as digits as its factorization.

122102100212021 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 17.

Adding to 122102100212021 its reverse (120212001201221), we get a palindrome (242314101413242).

The spelling of 122102100212021 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred million, two hundred twelve thousand, twenty-one".