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101012010000169 is a prime number
BaseRepresentation
bin10110111101111010110000…
…111110010101111100101001
3111020122122122122200011202211
4112331322300332111330221
5101214440044030001134
6554500135441125121
730163606526205112
oct2675726076257451
9436578578604684
10101012010000169
112a204a532a3a44
12b3b49799297a1
134449512667c58
141ad301631b209
15ba284a5ce764
hex5bdeb0f95f29

101012010000169 has 2 divisors, whose sum is σ = 101012010000170. Its totient is φ = 101012010000168.

The previous prime is 101012010000131. The next prime is 101012010000287. The reversal of 101012010000169 is 961000010210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100862090032144 + 149919968025 = 10043012^2 + 387195^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012010000169 - 241 = 98812986744617 is a prime.

It is a super-2 number, since 2×1010120100001692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012010003169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506005000084 + 50506005000085.

It is an arithmetic number, because the mean of its divisors is an integer number (50506005000085).

Almost surely, 2101012010000169 is an apocalyptic number.

It is an amenable number.

101012010000169 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012010000169 is an equidigital number, since it uses as much as digits as its factorization.

101012010000169 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 22.

The spelling of 101012010000169 in words is "one hundred one trillion, twelve billion, ten million, one hundred sixty-nine", and thus it is an aban number.