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101222210122012 = 227172697571044289
BaseRepresentation
bin10111000000111110100001…
…111000001011000100011100
3111021101202012212021201221201
4113000332201320023010130
5101231411041242401022
6555140501423205244
730215030504566510
oct2700764170130434
9437352185251851
10101222210122012
112a286109835701
12b429661446824
1344632a0c72185
141add276d76140
15ba804e292127
hex5c0fa1e0b11c

101222210122012 has 96 divisors (see below), whose sum is σ = 215434186531200. Its totient is φ = 40623571795968.

The previous prime is 101222210122001. The next prime is 101222210122013. The reversal of 101222210122012 is 210221012222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222210122013) 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, 96407164 + ... + 97451452.

It is an arithmetic number, because the mean of its divisors is an integer number (2244106109700).

Almost surely, 2101222210122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222210122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107717093265600).

101222210122012 is an abundant number, since it is smaller than the sum of its proper divisors (114211976409188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222210122012 is a wasteful number, since it uses less digits than its factorization.

101222210122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045343 (or 1045341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101222210122012 its reverse (210221012222101), we get a palindrome (311443222344113).

The spelling of 101222210122012 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 269 476 538 757 1076 1514 1883 3028 3766 4573 5299 7532 9146 10598 12869 18292 21196 25738 32011 51476 64022 90083 128044 180166 203633 360332 407266 814532 1044289 1425431 2088578 2850862 3461761 4177156 5701724 6923522 7310023 13847044 14620046 17752913 24232327 29240092 35505826 48464654 71011652 96929308 124270391 248540782 280913741 497081564 561827482 790526773 1123654964 1581053546 1966396187 3162107092 3932792374 4775533597 5533687411 7865584748 9551067194 11067374822 13438955141 19102134388 22134749644 26877910282 33428735179 53755820564 66857470358 94072685987 133714940716 188145371974 212651701937 376290743948 425303403874 850606807748 1488561913559 2977123827118 3615078932929 5954247654236 7230157865858 14460315731716 25305552530503 50611105061006 101222210122012