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10102200212021 = 294714595080013
BaseRepresentation
bin1001001100000001101000…
…0011100001101000110101
31022202202112200221221120012
42103000122003201220311
52311003301223241041
633252515310150005
72061600636664151
oct223003203415065
938682480857505
1010102200212021
113245356723a65
121171a5a4b2305
13583830741c68
1426cd40484061
15127bac3dc3eb
hex9301a0e1a35

10102200212021 has 16 divisors (see below), whose sum is σ = 10680221433600. Its totient is φ = 9539774854848.

The previous prime is 10102200212017. The next prime is 10102200212033. The reversal of 10102200212021 is 12021200220101.

It is a cyclic number.

It is not a de Polignac number, because 10102200212021 - 22 = 10102200212017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102200211987 and 10102200212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102200212051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551390 + ... + 4528623.

It is an arithmetic number, because the mean of its divisors is an integer number (667513839600).

Almost surely, 210102200212021 is an apocalyptic number.

It is an amenable number.

10102200212021 is a deficient number, since it is larger than the sum of its proper divisors (578021221579).

10102200212021 is a wasteful number, since it uses less digits than its factorization.

10102200212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081548.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102200212021 its reverse (12021200220101), we get a palindrome (22123400432122).

The spelling of 10102200212021 in words is "ten trillion, one hundred two billion, two hundred million, two hundred twelve thousand, twenty-one".

Divisors: 1 29 47 1363 1459 42311 68573 1988617 5080013 147320377 238760611 6924057719 7411738967 214940430043 348351731449 10102200212021