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101012002221200 = 24527172122100887
BaseRepresentation
bin10110111101111010110000…
…100000101010110010010000
3111020122122122010000222000212
4112331322300200222302100
5101214440040032034300
6554500135002303252
730163606403115650
oct2675726040526220
9436578563028025
10101012002221200
112a204a49970544
12b3b49771b7b28
134449510b73305
141ad3015294360
15ba2849a94935
hex5bdeb082ac90

101012002221200 has 120 divisors (see below), whose sum is σ = 293664809284992. Its totient is φ = 32595469608960.

The previous prime is 101012002221061. The next prime is 101012002221233. The reversal of 101012002221200 is 2122200210101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061002844 + ... + 1061098043.

Almost surely, 2101012002221200 is an apocalyptic number.

101012002221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012002221200 is an abundant number, since it is smaller than the sum of its proper divisors (192652807063792).

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

101012002221200 is a wasteful number, since it uses less digits than its factorization.

101012002221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122100929 (or 2122100918 counting only the distinct ones).

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

Adding to 101012002221200 its reverse (2122200210101), we get a palindrome (103134202431301).

The spelling of 101012002221200 in words is "one hundred one trillion, twelve billion, two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 136 140 170 175 200 238 272 280 340 350 400 425 476 560 595 680 700 850 952 1190 1360 1400 1700 1904 2380 2800 2975 3400 4760 5950 6800 9520 11900 23800 47600 2122100887 4244201774 8488403548 10610504435 14854706209 16976807096 21221008870 29709412418 33953614192 36075715079 42442017740 53052522175 59418824836 72151430158 74273531045 84884035480 106105044350 118837649672 144302860316 148547062090 169768070960 180378575395 212210088700 237675299344 252530005553 288605720632 297094124180 360757150790 371367655225 424420177400 505060011106 577211441264 594188248360 721514301580 742735310450 848840354800 901892876975 1010120022212 1188376496720 1262650027765 1443028603160 1485470620900 1803785753950 2020240044424 2525300055530 2886057206320 2970941241800 3607571507900 4040480088848 5050600111060 5941882483600 6313250138825 7215143015800 10101200222120 12626500277650 14430286031600 20202400444240 25253000555300 50506001110600 101012002221200