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101201201110002 = 23722327754029473
BaseRepresentation
bin10111000000101010111101…
…101001001001101111110010
3111021022201222201010100102210
4113000222331221021233302
5101231040024441010002
6555123105011152550
730213355051125600
oct2700527551115762
9437281881110383
10101201201110002
112a278208797a64
12b4255795a5756
134461303523416
141adc242a78870
15ba771eb6496c
hex5c0abda49bf2

101201201110002 has 96 divisors (see below), whose sum is σ = 246571500961152. Its totient is φ = 27557624134656.

The previous prime is 101201201109977. The next prime is 101201201110039. The reversal of 101201201110002 is 200011102102101.

101201201110002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012012011100022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101201201110002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25141663 + ... + 28887810.

It is an arithmetic number, because the mean of its divisors is an integer number (2568453135012).

Almost surely, 2101201201110002 is an apocalyptic number.

101201201110002 is an abundant number, since it is smaller than the sum of its proper divisors (145370299851150).

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

101201201110002 is a wasteful number, since it uses less digits than its factorization.

101201201110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54029792 (or 54029785 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201201110002 its reverse (200011102102101), we get a palindrome (301212303212103).

The spelling of 101201201110002 in words is "one hundred one trillion, two hundred one billion, two hundred one million, one hundred ten thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 277 294 322 483 554 831 966 1127 1662 1939 2254 3381 3878 5817 6371 6762 11634 12742 13573 19113 27146 38226 40719 44597 81438 89194 133791 267582 312179 624358 936537 1873074 54029473 108058946 162088419 324176838 378206311 756412622 1134618933 1242677879 2269237866 2485355758 2647444177 3728033637 5294888354 7456067274 7942332531 8698745153 14966164021 15884665062 17397490306 26096235459 29932328042 44898492063 52192470918 60891216071 89796984126 104763148147 121782432142 182673648213 209526296294 314289444441 344221772483 365347296426 628578888882 688443544966 733342037029 1032665317449 1466684074058 2065330634898 2200026111087 2409552407381 4400052222174 4819104814762 7228657222143 14457314444286 16866866851667 33733733703334 50600600555001 101201201110002