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122112001021 is a prime number
BaseRepresentation
bin111000110111001110…
…0010100001111111101
3102200012012021101020111
41301232130110033331
54000041133013041
6132033015550021
711552022611533
oct1615634241775
9380165241214
10122112001021
114787304a80a
121b7bb08b311
13b69091780a
145ca5a38153
15329a5dd981
hex1c6e7143fd

122112001021 has 2 divisors, whose sum is σ = 122112001022. Its totient is φ = 122112001020.

The previous prime is 122112001009. The next prime is 122112001133. The reversal of 122112001021 is 120100211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61330522500 + 60781478521 = 247650^2 + 246539^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112001021 - 211 = 122111998973 is a prime.

It is a super-2 number, since 2×1221120010212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112000992 and 122112001010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112005021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056000510 + 61056000511.

It is an arithmetic number, because the mean of its divisors is an integer number (61056000511).

Almost surely, 2122112001021 is an apocalyptic number.

It is an amenable number.

122112001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112001021 is an equidigital number, since it uses as much as digits as its factorization.

122112001021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122112001021 its reverse (120100211221), we get a palindrome (242212212242).

The spelling of 122112001021 in words is "one hundred twenty-two billion, one hundred twelve million, one thousand, twenty-one".