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2010221222121 = 327433617205157
BaseRepresentation
bin11101010000001010100…
…001011001100011101001
321010011201202212201210100
4131100022201121203221
5230413413113101441
64135252145140013
7265143104313330
oct35201241314351
97104652781710
102010221222121
117055915232a2
1228571702a609
131177420295b8
146d41c15ad17
15374554d7cb6
hex1d40a8598e9

2010221222121 has 48 divisors (see below), whose sum is σ = 3396589282944. Its totient is φ = 1121668273152.

The previous prime is 2010221222071. The next prime is 2010221222171. The reversal of 2010221222121 is 1212221220102.

It is a happy number.

2010221222121 is a `hidden beast` number, since 201 + 0 + 221 + 2 + 221 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (2010221222071) and next prime (2010221222171).

It is not a de Polignac number, because 2010221222121 - 210 = 2010221221097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010221222094 and 2010221222103.

It is not an unprimeable number, because it can be changed into a prime (2010221222171) 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, 9695875 + ... + 9901031.

It is an arithmetic number, because the mean of its divisors is an integer number (70762276728).

Almost surely, 22010221222121 is an apocalyptic number.

2010221222121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010221222121 is a deficient number, since it is larger than the sum of its proper divisors (1386368060823).

2010221222121 is a wasteful number, since it uses less digits than its factorization.

2010221222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208830 (or 208827 counting only the distinct ones).

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

Adding to 2010221222121 its reverse (1212221220102), we get a palindrome (3222442442223).

The spelling of 2010221222121 in words is "two trillion, ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 3617 10851 25319 32553 75957 155531 205157 227871 466593 615471 1088717 1399779 1436099 1846413 3266151 4308297 8821751 9798453 12924891 26465253 61752257 79395759 185256771 555770313 742052869 2226158607 5194370083 6678475821 15583110249 31908273367 46749330747 95724820101 223357913569 287174460303 670073740707 2010221222121