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122621744101 is a prime number
BaseRepresentation
bin111001000110011010…
…0110101001111100101
3102201111201110000021211
41302030310311033211
54002112131302401
6132155345311421
711600452425133
oct1621464651745
9381451400254
10122621744101
114800486128a
121b921935571
13b74240153c
145d13608753
1532ca22d951
hex1c8cd353e5

122621744101 has 2 divisors, whose sum is σ = 122621744102. Its totient is φ = 122621744100.

The previous prime is 122621744053. The next prime is 122621744111. The reversal of 122621744101 is 101447126221.

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., 108046977025 + 14574767076 = 328705^2 + 120726^2 .

It is a cyclic number.

It is not a de Polignac number, because 122621744101 - 231 = 120474260453 is a prime.

It is a super-2 number, since 2×1226217441012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122621744111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61310872050 + 61310872051.

It is an arithmetic number, because the mean of its divisors is an integer number (61310872051).

Almost surely, 2122621744101 is an apocalyptic number.

It is an amenable number.

122621744101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122621744101 is an equidigital number, since it uses as much as digits as its factorization.

122621744101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 122621744101 in words is "one hundred twenty-two billion, six hundred twenty-one million, seven hundred forty-four thousand, one hundred one".