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122100011012029 is a prime number
BaseRepresentation
bin11011110000110010011111…
…110010001000111110111101
3121000022122110200222200211011
4123300302133302020332331
5112000441310304341104
61111403545400555221
734501302045233611
oct3360623762107675
9530278420880734
10122100011012029
11359a5362091646
121183b972782b11
135318c9b857b6b
14222195a209341
15e1b17c7e5904
hex6f0c9fc88fbd

122100011012029 has 2 divisors, whose sum is σ = 122100011012030. Its totient is φ = 122100011012028.

The previous prime is 122100011012009. The next prime is 122100011012059. The reversal of 122100011012029 is 920210110001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69613608449529 + 52486402562500 = 8343477^2 + 7244750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122100011012029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100011012009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050005506014 + 61050005506015.

It is an arithmetic number, because the mean of its divisors is an integer number (61050005506015).

Almost surely, 2122100011012029 is an apocalyptic number.

It is an amenable number.

122100011012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100011012029 is an equidigital number, since it uses as much as digits as its factorization.

122100011012029 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 22.

The spelling of 122100011012029 in words is "one hundred twenty-two trillion, one hundred billion, eleven million, twelve thousand, twenty-nine".