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122100211112201 = 7432678315145747
BaseRepresentation
bin11011110000110010101011…
…101101011101100100001001
3121000022122222122111211122122
4123300302223231131210021
5112000442213021042301
61111404021305501025
734501310025116210
oct3360625355354411
9530278878454578
10122100211112201
11359a5455032893
121183ba097a1775
13531900114892a
142221978a16077
15e1b19016e81b
hex6f0cabb5d909

122100211112201 has 16 divisors (see below), whose sum is σ = 142793627480064. Its totient is φ = 102219609081744.

The previous prime is 122100211112189. The next prime is 122100211112263. The reversal of 122100211112201 is 102211112001221.

It is not a de Polignac number, because 122100211112201 - 214 = 122100211095817 is a prime.

It is a super-2 number, since 2×1221002111122012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122100211112201.

It is not an unprimeable number, because it can be changed into a prime (122100211112501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488810 + ... + 15634556.

It is an arithmetic number, because the mean of its divisors is an integer number (8924601717504).

Almost surely, 2122100211112201 is an apocalyptic number.

It is an amenable number.

122100211112201 is a deficient number, since it is larger than the sum of its proper divisors (20693416367863).

122100211112201 is a wasteful number, since it uses less digits than its factorization.

122100211112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15172580.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122100211112201 its reverse (102211112001221), we get a palindrome (224311323113422).

The spelling of 122100211112201 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred twelve thousand, two hundred one".

Divisors: 1 7 43 301 26783 187481 1151669 8061683 15145747 106020229 651267121 4558869847 405648541901 2839539793307 17442887301743 122100211112201