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12011010210100 = 22521189122686519
BaseRepresentation
bin1010111011001000011111…
…1111110011100100110100
31120112020111221201201122201
42232302013333303210310
53033242022103210400
641313440521034244
72346524013161266
oct256620777634464
946466457651581
1012011010210100
1139109281566a0
12141b993025984
136918307805c5
142d749bd89b36
1515c67982a06a
hexaec87ff3934

12011010210100 has 72 divisors (see below), whose sum is σ = 28752812827200. Its totient is φ = 4318565433600.

The previous prime is 12011010210097. The next prime is 12011010210131. The reversal of 12011010210100 is 101201011021.

It is a super-2 number, since 2×120110102101002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 61245360 + ... + 61441159.

It is an arithmetic number, because the mean of its divisors is an integer number (399344622600).

Almost surely, 212011010210100 is an apocalyptic number.

12011010210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011010210100 is an abundant number, since it is smaller than the sum of its proper divisors (16741802617100).

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

12011010210100 is a wasteful number, since it uses less digits than its factorization.

12011010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122686633 (or 122686626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12011010210100 its reverse (101201011021), we get a palindrome (12112211221121).

The spelling of 12011010210100 in words is "twelve trillion, eleven billion, ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 3916 4450 4895 8900 9790 19580 24475 48950 97900 122686519 245373038 490746076 613432595 1226865190 1349551709 2453730380 2699103418 3067162975 5398206836 6134325950 6747758545 10919100191 12268651900 13495517090 21838200382 26991034180 33738792725 43676400764 54595500955 67477585450 109191001910 120110102101 134955170900 218382003820 240220204202 272977504775 480440408404 545955009550 600550510505 1091910019100 1201101021010 2402202042020 3002752552525 6005505105050 12011010210100