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101222110002012 = 223614331707718701
BaseRepresentation
bin10111000000111110011011…
…111010001111101101011100
3111021101201221212220010010120
4113000332123322033231130
5101231410340130031022
6555140443445234540
730215025150564456
oct2700763372175534
9437351855803116
10101222110002012
112a286068271aaa
12b429633a02a50
1344632862b8b7c
141add2679532d6
15ba80455b6d5c
hex5c0f9be8fb5c

101222110002012 has 96 divisors (see below), whose sum is σ = 240638167796544. Its totient is φ = 33107222016000.

The previous prime is 101222110002007. The next prime is 101222110002017. The reversal of 101222110002012 is 210200011222101.

It is an interprime number because it is at equal distance from previous prime (101222110002007) and next prime (101222110002017).

It is a junction number, because it is equal to n+sod(n) for n = 101222110001982 and 101222110002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222110002017) 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, 5412648262 + ... + 5412666962.

It is an arithmetic number, because the mean of its divisors is an integer number (2506647581214).

Almost surely, 2101222110002012 is an apocalyptic number.

101222110002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222110002012 is an abundant number, since it is smaller than the sum of its proper divisors (139416057794532).

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

101222110002012 is a wasteful number, since it uses less digits than its factorization.

101222110002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36279 (or 36277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101222110002012 its reverse (210200011222101), we get a palindrome (311422121224113).

The spelling of 101222110002012 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred ten million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 433 732 866 1299 1732 2598 5196 17077 18701 26413 34154 37402 51231 52826 56103 68308 74804 79239 102462 105652 112206 158478 204924 224412 316956 1041697 1140761 2083394 2281522 3125091 3422283 4166788 4563044 6250182 6844566 7394341 8097533 12500364 13689132 14788682 16195066 22183023 24292599 29577364 32390132 44366046 48585198 88732092 97170396 319356977 451054801 493949513 638713954 902109602 958070931 987899026 1277427908 1353164403 1481848539 1804219204 1916141862 1975798052 2706328806 2963697078 3832283724 5412657612 5927394156 19480775597 38961551194 58442326791 77923102388 116884653582 138281571041 233769307164 276563142082 414844713123 553126284164 829689426246 1659378852492 8435175833501 16870351667002 25305527500503 33740703334004 50611055001006 101222110002012