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1012121010221 = 171319415910853
BaseRepresentation
bin11101011101001110001…
…11010000000000101101
310120202110110020112122112
432232213013100000231
5113040310434311341
62052543441453405
7133060205432156
oct16564707200055
93522413215575
101012121010221
11360268a19312
121441a5341265
137459a51c039
1436db616492d
151b4da93baeb
hexeba71d002d

1012121010221 has 16 divisors (see below), whose sum is σ = 1072826726400. Its totient is φ = 951545726208.

The previous prime is 1012121010217. The next prime is 1012121010247. The reversal of 1012121010221 is 1220101212101.

It is a cyclic number.

It is not a de Polignac number, because 1012121010221 - 22 = 1012121010217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012121010196 and 1012121010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012121010211) 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 in 15 ways as a sum of consecutive naturals, for example, 93251831 + ... + 93262683.

It is an arithmetic number, because the mean of its divisors is an integer number (67051670400).

Almost surely, 21012121010221 is an apocalyptic number.

It is an amenable number.

1012121010221 is a deficient number, since it is larger than the sum of its proper divisors (60705716179).

1012121010221 is a wasteful number, since it uses less digits than its factorization.

1012121010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16348.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012121010221 its reverse (1220101212101), we get a palindrome (2232222222322).

The spelling of 1012121010221 in words is "one trillion, twelve billion, one hundred twenty-one million, ten thousand, two hundred twenty-one".

Divisors: 1 17 1319 4159 10853 22423 70703 184501 5485721 14315107 45137627 93257257 243356819 767339659 59536530013 1012121010221