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10121022200120 = 23513109178564259
BaseRepresentation
bin1001001101000111101111…
…1011101101100100111000
31022211120010102212000021112
42103101323323231210320
52311310323140400440
633305311114455452
72063135236152056
oct223217373554470
938746112760245
1010121022200120
1132523351a5227
121175631a34588
13585540053720
1426dc081211d6
1512840ea12965
hex9347beed938

10121022200120 has 64 divisors (see below), whose sum is σ = 24749006436000. Its totient is φ = 3702708453888.

The previous prime is 10121022200111. The next prime is 10121022200129. The reversal of 10121022200120 is 2100222012101.

It is an interprime number because it is at equal distance from previous prime (10121022200111) and next prime (10121022200129).

It is a junction number, because it is equal to n+sod(n) for n = 10121022200095 and 10121022200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121022200129) 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, 89225450 + ... + 89338809.

Almost surely, 210121022200120 is an apocalyptic number.

10121022200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121022200120 is an abundant number, since it is smaller than the sum of its proper divisors (14627984235880).

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

10121022200120 is a wasteful number, since it uses less digits than its factorization.

10121022200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178564392 (or 178564388 counting only the distinct ones).

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

Adding to 10121022200120 its reverse (2100222012101), we get a palindrome (12221244212221).

The spelling of 10121022200120 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 872 1090 1417 2180 2834 4360 5668 7085 11336 14170 28340 56680 178564259 357128518 714257036 892821295 1428514072 1785642590 2321335367 3571285180 4642670734 7142570360 9285341468 11606676835 18570682936 19463504231 23213353670 38927008462 46426707340 77854016924 92853414680 97317521155 155708033848 194635042310 253025555003 389270084620 506051110006 778540169240 1012102220012 1265127775015 2024204440024 2530255550030 5060511100060 10121022200120