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122210100029 is a prime number
BaseRepresentation
bin111000111010001001…
…0100010001100111101
3102200110000212022210002
41301310102202030331
54000241241200104
6132050442324045
711554323465503
oct1616422421475
9380400768702
10122210100029
1147913462a76
121b827ab9625
13b6a8043c74
145cb4a92673
1532a401a01e
hex1c744a233d

122210100029 has 2 divisors, whose sum is σ = 122210100030. Its totient is φ = 122210100028.

The previous prime is 122210099983. The next prime is 122210100071. The reversal of 122210100029 is 920001012221.

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., 65328804025 + 56881296004 = 255595^2 + 238498^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122210100029 is a prime.

It is a super-3 number, since 3×1222101000293 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122110100029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105050014 + 61105050015.

It is an arithmetic number, because the mean of its divisors is an integer number (61105050015).

Almost surely, 2122210100029 is an apocalyptic number.

It is an amenable number.

122210100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210100029 is an equidigital number, since it uses as much as digits as its factorization.

122210100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 122210100029 in words is "one hundred twenty-two billion, two hundred ten million, one hundred thousand, twenty-nine".