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122268101 is a prime number
BaseRepresentation
bin1110100100110…
…10100111000101
322112001212022012
413102122213011
5222300034401
620044344005
73013155524
oct722324705
9275055265
10122268101
116302091a
1234b45005
131c43c3b7
141234a4bb
15ab028bb
hex749a9c5

122268101 has 2 divisors, whose sum is σ = 122268102. Its totient is φ = 122268100.

The previous prime is 122268079. The next prime is 122268121. The reversal of 122268101 is 101862221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85119076 + 37149025 = 9226^2 + 6095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122268101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122268121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61134050 + 61134051.

It is an arithmetic number, because the mean of its divisors is an integer number (61134051).

Almost surely, 2122268101 is an apocalyptic number.

It is an amenable number.

122268101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122268101 is an equidigital number, since it uses as much as digits as its factorization.

122268101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 122268101 is about 11057.4907189651. The cubic root of 122268101 is about 496.3306049552.

The spelling of 122268101 in words is "one hundred twenty-two million, two hundred sixty-eight thousand, one hundred one".