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10012200221101 = 1343181187152889
BaseRepresentation
bin1001000110110010010110…
…1000110011100110101101
31022110011020110002200220011
42101230211220303212231
52303014441224033401
633143312530053221
72052233440456111
oct221544550634655
938404213080804
1010012200221101
113210172009781
12115852171a211
135781b9923b70
14268843589741
15125691063451
hex91b25a339ad

10012200221101 has 32 divisors (see below), whose sum is σ = 11100218088960. Its totient is φ = 8972258803200.

The previous prime is 10012200221099. The next prime is 10012200221129. The reversal of 10012200221101 is 10112200221001.

10012200221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10012200221101 - 21 = 10012200221099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012200221131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189279465 + ... + 189332353.

It is an arithmetic number, because the mean of its divisors is an integer number (346881815280).

Almost surely, 210012200221101 is an apocalyptic number.

It is an amenable number.

10012200221101 is a deficient number, since it is larger than the sum of its proper divisors (1088017867859).

10012200221101 is a wasteful number, since it uses less digits than its factorization.

10012200221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54997.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012200221101 its reverse (10112200221001), we get a palindrome (20124400442102).

The spelling of 10012200221101 in words is "ten trillion, twelve billion, two hundred million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 13 43 181 559 1871 2353 7783 24323 52889 80453 101179 338651 687557 1045889 2274227 4402463 9572909 14561993 29564951 98955319 124447817 189305909 411635087 1286419147 4255078717 5351256131 17910912739 55316023321 232841865607 770169247777 10012200221101