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122102110102100 = 22526120016739361
BaseRepresentation
bin11011110000110100011100…
…111001100010001001010100
3121000022211212222210112001212
4123300310130321202021110
5112001010110141231400
61111404533543440552
734501405054221002
oct3360643471421124
9530284788715055
10122102110102100
11359a6239a59027
1211840259756158
1353192446b77ab
142221ab8cd9a72
15e1b251c2d335
hex6f0d1ce62254

122102110102100 has 36 divisors (see below), whose sum is σ = 269305211376348. Its totient is φ = 48040174464000.

The previous prime is 122102110102079. The next prime is 122102110102129. The reversal of 122102110102100 is 1201011201221.

It can be written as a sum of positive squares in 6 ways, for example, as 2254310062096 + 119847800040004 = 1501436^2 + 10947502^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10008363581 + ... + 10008375780.

Almost surely, 2122102110102100 is an apocalyptic number.

122102110102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102110102100 is an abundant number, since it is smaller than the sum of its proper divisors (147203101274248).

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

122102110102100 is a wasteful number, since it uses less digits than its factorization.

122102110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20016739436 (or 20016739429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122102110102100 its reverse (1201011201221), we get a palindrome (123303121303321).

The spelling of 122102110102100 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 20016739361 40033478722 80066957444 100083696805 200167393610 400334787220 500418484025 1000836968050 1221021101021 2001673936100 2442042202042 4884084404084 6105105505105 12210211010210 24420422020420 30525527525525 61051055051050 122102110102100