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1012110012221 = 71129243136263
BaseRepresentation
bin11101011101001100111…
…01010010111100111101
310120202102200112210020012
432232212131102330331
5113040300130342341
62052542410033005
7133060013105060
oct16564635227475
93522380483205
101012110012221
11360262797360
121441a1718765
137459816b149
1436db49008d7
151b4d99b80eb
hexeba6752f3d

1012110012221 has 48 divisors (see below), whose sum is σ = 1309932269568. Its totient is φ = 759674395200.

The previous prime is 1012110012217. The next prime is 1012110012227. The reversal of 1012110012221 is 1222100112101.

It is not a de Polignac number, because 1012110012221 - 22 = 1012110012217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012110012196 and 1012110012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012110012227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27892136 + ... + 27928398.

It is an arithmetic number, because the mean of its divisors is an integer number (27290255616).

Almost surely, 21012110012221 is an apocalyptic number.

1012110012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012110012221 is a deficient number, since it is larger than the sum of its proper divisors (297822257347).

1012110012221 is a wasteful number, since it uses less digits than its factorization.

1012110012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36770 (or 36741 counting only the distinct ones).

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

Adding to 1012110012221 its reverse (1222100112101), we get a palindrome (2234210124322).

The spelling of 1012110012221 in words is "one trillion, twelve billion, one hundred ten million, twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 29 77 203 319 431 841 2233 3017 4741 5887 9251 12499 33187 36263 64757 87493 137489 253841 362471 398893 962423 1051627 2537297 2792251 3987181 7361389 11567897 15629353 27910267 30497183 80975279 109405471 171922883 213480281 335469013 453251237 1203460181 2348283091 3172758659 4985763607 13144285873 34900345249 92010001111 144587144603 1012110012221