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101020011222012 = 22329417080180209
BaseRepresentation
bin10110111110000010001101…
…111000100101001111111100
3111020200102022021101100201120
4112332002031320211033330
5101220102440333101022
6554503541423110540
730164312023364361
oct2676021570451774
9436612267340646
10101020011222012
112a208389826383
12b3b6431442450
13444a1b921824c
141ad3574c22468
15ba2b67c6bd5c
hex5be08de253fc

101020011222012 has 48 divisors (see below), whose sum is σ = 249788757808800. Its totient is φ = 31719207331840.

The previous prime is 101020011222001. The next prime is 101020011222023. The reversal of 101020011222012 is 210222110020101.

It is an interprime number because it is at equal distance from previous prime (101020011222001) and next prime (101020011222023).

It is a junction number, because it is equal to n+sod(n) for n = 101020011221982 and 101020011222000.

It is a congruent number.

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, 3540075837 + ... + 3540104372.

It is an arithmetic number, because the mean of its divisors is an integer number (5203932454350).

Almost surely, 2101020011222012 is an apocalyptic number.

101020011222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020011222012 is an abundant number, since it is smaller than the sum of its proper divisors (148768746586788).

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

101020011222012 is a wasteful number, since it uses less digits than its factorization.

101020011222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080180286 (or 7080180284 counting only the distinct ones).

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

Adding to 101020011222012 its reverse (210222110020101), we get a palindrome (311242121242113).

The spelling of 101020011222012 in words is "one hundred one trillion, twenty billion, eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 7134 14268 7080180209 14160360418 21240540627 28320720836 42481081254 84962162508 205325226061 290287388569 410650452122 580574777138 615975678183 821300904244 870862165707 1161149554276 1231951356366 1741724331414 2463902712732 3483448662828 8418334268501 16836668537002 25255002805503 33673337074004 50510005611006 101020011222012