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10122122220201 = 334153172523431
BaseRepresentation
bin1001001101001011110101…
…1111111101001010101001
31022211122222002201211011000
42103102331133331022221
52311320101242021301
633310012212025213
72063204424160515
oct223227537751251
938748862654130
1010122122220201
11325284a123632
12117589a302209
13585686c10594
1426dcb0267145
1512847639e786
hex934bd7fd2a9

10122122220201 has 32 divisors (see below), whose sum is σ = 15651325751040. Its totient is φ = 6459277219200.

The previous prime is 10122122220191. The next prime is 10122122220209. The reversal of 10122122220201 is 10202222122101.

It is a happy number.

10122122220201 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 22 + 220 + 201 = 666.

It is not a de Polignac number, because 10122122220201 - 26 = 10122122220137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122122220209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86203045 + ... + 86320386.

It is an arithmetic number, because the mean of its divisors is an integer number (489103929720).

Almost surely, 210122122220201 is an apocalyptic number.

It is an amenable number.

10122122220201 is a deficient number, since it is larger than the sum of its proper divisors (5529203530839).

10122122220201 is a wasteful number, since it uses less digits than its factorization.

10122122220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172523534 (or 172523528 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10122122220201 its reverse (10202222122101), we get a palindrome (20324344342302).

The spelling of 10122122220201 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 27 41 53 123 159 369 477 1107 1431 2173 6519 19557 58671 172523431 517570293 1552710879 4658132637 7073460671 9143741843 21220382013 27431225529 63661146039 82293676587 190983438117 246881029761 374893415563 1124680246689 3374040740067 10122122220201