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10012100221002 = 23112514513133919
BaseRepresentation
bin1001000110110001111110…
…1011010101100001001010
31022110010222110221011112210
42101230133223111201022
52303014240124033002
633143254554445550
72052231114463455
oct221543753254112
938403873834483
1010012100221002
113210120618170
1211584b41338b6
135781a1cb02c9
1426883419849c
151256873ad96c
hex91b1fad584a

10012100221002 has 64 divisors (see below), whose sum is σ = 21936635965440. Its totient is φ = 3021190080000.

The previous prime is 10012100220961. The next prime is 10012100221043. The reversal of 10012100221002 is 20012200121001.

10012100221002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10012100220961) and next prime (10012100221043).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74695399 + ... + 74829317.

It is an arithmetic number, because the mean of its divisors is an integer number (342759936960).

Almost surely, 210012100221002 is an apocalyptic number.

10012100221002 is an abundant number, since it is smaller than the sum of its proper divisors (11924535744438).

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

10012100221002 is a wasteful number, since it uses less digits than its factorization.

10012100221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138699.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012100221002 its reverse (20012200121001), we get a palindrome (30024300342003).

The spelling of 10012100221002 in words is "ten trillion, twelve billion, one hundred million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 251 502 753 1506 2761 4513 5522 8283 9026 13539 16566 27078 49643 99286 133919 148929 267838 297858 401757 803514 1132763 1473109 2265526 2946218 3398289 4419327 6796578 8838654 12460393 24920786 33613669 37381179 67227338 74762358 100841007 201682014 369750359 604376447 739500718 1109251077 1208752894 1813129341 2218502154 3626258682 6648140917 13296281834 19944422751 39888845502 151698488197 303396976394 455095464591 910190929182 1668683370167 3337366740334 5006050110501 10012100221002