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122021012093 is a prime number
BaseRepresentation
bin111000110100100000…
…1001110001001111101
3102122221212001122220012
41301221001032021331
53444344334341333
6132020005433005
711546536326641
oct1615101161175
9378855048805
10122021012093
1147826753452
121b79470b765
13b677b0a706
145c97910c21
153292618e48
hex1c6904e27d

122021012093 has 2 divisors, whose sum is σ = 122021012094. Its totient is φ = 122021012092.

The previous prime is 122021012077. The next prime is 122021012153. The reversal of 122021012093 is 390210120221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112612594084 + 9408418009 = 335578^2 + 96997^2 .

It is an emirp because it is prime and its reverse (390210120221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122021012093 - 24 = 122021012077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122021012033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010506046 + 61010506047.

It is an arithmetic number, because the mean of its divisors is an integer number (61010506047).

Almost surely, 2122021012093 is an apocalyptic number.

It is an amenable number.

122021012093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021012093 is an equidigital number, since it uses as much as digits as its factorization.

122021012093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 122021012093 in words is "one hundred twenty-two billion, twenty-one million, twelve thousand, ninety-three".