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10012200100021 = 723471323139963
BaseRepresentation
bin1001000110110010010110…
…1000010110000010110101
31022110011020102212112210201
42101230211220112002311
52303014441211200041
633143312523320501
72052233436443110
oct221544550260265
938404212775721
1010012200100021
113210171a36809
121158521680131
135781b98b0a12
14268843557577
1512569103c631
hex91b25a160b5

10012200100021 has 16 divisors (see below), whose sum is σ = 12194057908224. Its totient is φ = 8034105849264.

The previous prime is 10012200099989. The next prime is 10012200100043. The reversal of 10012200100021 is 12000100221001.

It is not a de Polignac number, because 10012200100021 - 25 = 10012200099989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012200099980 and 10012200100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012200200021) 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, 661562415 + ... + 661577548.

It is an arithmetic number, because the mean of its divisors is an integer number (762128619264).

Almost surely, 210012200100021 is an apocalyptic number.

It is an amenable number.

10012200100021 is a deficient number, since it is larger than the sum of its proper divisors (2181857808203).

10012200100021 is a wasteful number, since it uses less digits than its factorization.

10012200100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323140040.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10012200100021 its reverse (12000100221001), we get a palindrome (22012300321022).

The spelling of 10012200100021 in words is "ten trillion, twelve billion, two hundred million, one hundred thousand, twenty-one".

Divisors: 1 7 23 47 161 329 1081 7567 1323139963 9261979741 30432219149 62187578261 213025534043 435313047827 1430314300003 10012200100021