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101212022120 = 235111713531019
BaseRepresentation
bin101111001000010110…
…1001110010101101000
3100200020122021110000212
41132100231032111220
53124240234201440
6114255100520252
710212061664456
oct1362055162550
9320218243025
10101212022120
1139a18603280
1217747850088
13970c952cb1
144c81ddd9d6
15297584c465
hex1790b4e568

101212022120 has 64 divisors (see below), whose sum is σ = 263043028800. Its totient is φ = 34639406080.

The previous prime is 101212022117. The next prime is 101212022167. The reversal of 101212022120 is 21220212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212022095 and 101212022104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6758030 + ... + 6772989.

It is an arithmetic number, because the mean of its divisors is an integer number (4110047325).

Almost surely, 2101212022120 is an apocalyptic number.

101212022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212022120 is an abundant number, since it is smaller than the sum of its proper divisors (161831006680).

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

101212022120 is a wasteful number, since it uses less digits than its factorization.

101212022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531058 (or 13531054 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212022120 its reverse (21220212101), we get a palindrome (122432234221).

The spelling of 101212022120 in words is "one hundred one billion, two hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 13531019 27062038 54124076 67655095 108248152 135310190 148841209 230027323 270620380 297682418 460054646 541240760 595364836 744206045 920109292 1150136615 1190729672 1488412090 1840218584 2300273230 2530300553 2976824180 4600546460 5060601106 5953648360 9201092920 10121202212 12651502765 20242404424 25303005530 50606011060 101212022120