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12210022102100 = 2252294789581967
BaseRepresentation
bin1011000110101101111000…
…0001111011010001010100
31121020021012102201022210112
42301223132001323101110
53100022111124231400
641545112352342152
72400100505304044
oct261533601732124
947207172638715
1012210022102100
113988272186709
121452473844958
136a7528167394
14302d7ab37724
1516292616b835
hexb1ade07b454

12210022102100 has 72 divisors (see below), whose sum is σ = 27992573360640. Its totient is φ = 4615262888320.

The previous prime is 12210022102067. The next prime is 12210022102181. The reversal of 12210022102100 is 120122001221.

12210022102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44654684 + ... + 44927283.

It is an arithmetic number, because the mean of its divisors is an integer number (388785741120).

Almost surely, 212210022102100 is an apocalyptic number.

12210022102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210022102100 is an abundant number, since it is smaller than the sum of its proper divisors (15782551258540).

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

12210022102100 is a wasteful number, since it uses less digits than its factorization.

12210022102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89582057 (or 89582050 counting only the distinct ones).

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

Adding to 12210022102100 its reverse (120122001221), we get a palindrome (12330144103321).

The spelling of 12210022102100 in words is "twelve trillion, two hundred ten billion, twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 580 725 940 1175 1363 1450 2350 2726 2900 4700 5452 6815 13630 27260 34075 68150 136300 89581967 179163934 358327868 447909835 895819670 1791639340 2239549175 2597877043 4210352449 4479098350 5195754086 8420704898 8958196700 10391508172 12989385215 16841409796 21051762245 25978770430 42103524490 51957540860 64946926075 84207048980 105258811225 122100221021 129893852150 210517622450 244200442042 259787704300 421035244900 488400884084 610501105105 1221002210210 2442004420420 3052505525525 6105011051050 12210022102100