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102021200129 is a prime number
BaseRepresentation
bin101111100000011101…
…1111111100100000001
3100202100000212221120202
41133000323333210001
53132414411401004
6114511244214545
710241115615152
oct1370073774401
9322300787522
10102021200129
113a2a3342732
121793283a455
13980b49a554
144d1b677929
1529c18d8b1e
hex17c0eff901

102021200129 has 2 divisors, whose sum is σ = 102021200130. Its totient is φ = 102021200128.

The previous prime is 102021200111. The next prime is 102021200219. The reversal of 102021200129 is 921002120201.

It is a happy number.

Together with next prime (102021200219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83724579904 + 18296620225 = 289352^2 + 135265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102021200129 is a prime.

It is a super-2 number, since 2×1020212001292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102021200129.

It is not a weakly prime, because it can be changed into another prime (102021205129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010600064 + 51010600065.

It is an arithmetic number, because the mean of its divisors is an integer number (51010600065).

Almost surely, 2102021200129 is an apocalyptic number.

It is an amenable number.

102021200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021200129 is an equidigital number, since it uses as much as digits as its factorization.

102021200129 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 102021200129 in words is "one hundred two billion, twenty-one million, two hundred thousand, one hundred twenty-nine".