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210101200093 is a prime number
BaseRepresentation
bin1100001110101100000…
…0011110010011011101
3202002022022110211001101
43003223000132103131
511420241401400333
6240304045513101
721115334506651
oct3035300362335
9662268424041
10210101200093
1181115717354
1234876572791
1316a73c80455
14a251868a61
1556ea17267d
hex30eb01e4dd

210101200093 has 2 divisors, whose sum is σ = 210101200094. Its totient is φ = 210101200092.

The previous prime is 210101200079. The next prime is 210101200097. The reversal of 210101200093 is 390002101012.

210101200093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176772316249 + 33328883844 = 420443^2 + 182562^2 .

It is a cyclic number.

It is not a de Polignac number, because 210101200093 - 25 = 210101200061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210101200093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210101200097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050600046 + 105050600047.

It is an arithmetic number, because the mean of its divisors is an integer number (105050600047).

Almost surely, 2210101200093 is an apocalyptic number.

It is an amenable number.

210101200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101200093 is an equidigital number, since it uses as much as digits as its factorization.

210101200093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 210101200093 in words is "two hundred ten billion, one hundred one million, two hundred thousand, ninety-three".