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122120100101 is a prime number
BaseRepresentation
bin111000110111011101…
…1001101100100000101
3102200012202111212002102
41301232323031210011
54000100221200401
6132033505321445
711552151503156
oct1615673154405
9380182455072
10122120100101
114787768176a
121b801936285
13b6924c207c
145ca6b4592d
15329b18d56b
hex1c6eecd905

122120100101 has 2 divisors, whose sum is σ = 122120100102. Its totient is φ = 122120100100.

The previous prime is 122120100097. The next prime is 122120100121. The reversal of 122120100101 is 101001021221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90923356225 + 31196743876 = 301535^2 + 176626^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120100101 - 22 = 122120100097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122120100121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060050050 + 61060050051.

It is an arithmetic number, because the mean of its divisors is an integer number (61060050051).

Almost surely, 2122120100101 is an apocalyptic number.

It is an amenable number.

122120100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120100101 is an equidigital number, since it uses as much as digits as its factorization.

122120100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122120100101 its reverse (101001021221), we get a palindrome (223121121322).

The spelling of 122120100101 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred thousand, one hundred one".