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102021200101 is a prime number
BaseRepresentation
bin101111100000011101…
…1111111100011100101
3100202100000212221112201
41133000323333203211
53132414411400401
6114511244214501
710241115615112
oct1370073774345
9322300787481
10102021200101
113a2a3342707
121793283a431
13980b49a532
144d1b677909
1529c18d8b01
hex17c0eff8e5

102021200101 has 2 divisors, whose sum is σ = 102021200102. Its totient is φ = 102021200100.

The previous prime is 102021200063. The next prime is 102021200111. The reversal of 102021200101 is 101002120201.

It is an a-pointer prime, because the next prime (102021200111) can be obtained adding 102021200101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74460219876 + 27560980225 = 272874^2 + 166015^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021200101 - 211 = 102021198053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102021200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010600050 + 51010600051.

It is an arithmetic number, because the mean of its divisors is an integer number (51010600051).

Almost surely, 2102021200101 is an apocalyptic number.

It is an amenable number.

102021200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021200101 is an equidigital number, since it uses as much as digits as its factorization.

102021200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102021200101 its reverse (101002120201), we get a palindrome (203023320302).

The spelling of 102021200101 in words is "one hundred two billion, twenty-one million, two hundred thousand, one hundred one".