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122021022221141 is a prime number
BaseRepresentation
bin11011101111101000111011…
…101011110100001101010101
3121000001002120211122100221112
4123233220323223310031111
5111443143023142034031
61111303403405024405
734462504452466541
oct3357507353641525
9530032524570845
10122021022221141
1135974908a6497a
12118285a9555105
1353116c1086244
14221bbc5898a21
15e190a7ebe62b
hex6efa3baf4355

122021022221141 has 2 divisors, whose sum is σ = 122021022221142. Its totient is φ = 122021022221140.

The previous prime is 122021022221099. The next prime is 122021022221173. The reversal of 122021022221141 is 141122220120221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90395807844241 + 31625214376900 = 9507671^2 + 5623630^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122021022221141 is a prime.

It is a super-2 number, since 2×1220210222211412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122021022221641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010511110570 + 61010511110571.

It is an arithmetic number, because the mean of its divisors is an integer number (61010511110571).

Almost surely, 2122021022221141 is an apocalyptic number.

It is an amenable number.

122021022221141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021022221141 is an equidigital number, since it uses as much as digits as its factorization.

122021022221141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 122021022221141 its reverse (141122220120221), we get a palindrome (263143242341362).

The spelling of 122021022221141 in words is "one hundred twenty-two trillion, twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred forty-one".