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122001020100137 is a prime number
BaseRepresentation
bin11011101111010110010011…
…011101110001111000101001
3120222222011221212010100020002
4123233112103131301320221
5111442331042121201022
61111250254522112345
734461166003330133
oct3357262335617051
9528864855110202
10122001020100137
1135967384317362
121182474694b6b5
13530c854118099
14221ac491c0053
15e187d6e85092
hex6ef593771e29

122001020100137 has 2 divisors, whose sum is σ = 122001020100138. Its totient is φ = 122001020100136.

The previous prime is 122001020100109. The next prime is 122001020100257. The reversal of 122001020100137 is 731001020100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87081949996441 + 34919070103696 = 9331771^2 + 5909236^2 .

It is a cyclic number.

It is not a de Polignac number, because 122001020100137 - 26 = 122001020100073 is a prime.

It is not a weakly prime, because it can be changed into another prime (122001020120137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000510050068 + 61000510050069.

It is an arithmetic number, because the mean of its divisors is an integer number (61000510050069).

Almost surely, 2122001020100137 is an apocalyptic number.

It is an amenable number.

122001020100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122001020100137 is an equidigital number, since it uses as much as digits as its factorization.

122001020100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 122001020100137 its reverse (731001020100221), we get a palindrome (853002040200358).

The spelling of 122001020100137 in words is "one hundred twenty-two trillion, one billion, twenty million, one hundred thousand, one hundred thirty-seven".