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101212102221200 = 24521811397957213
BaseRepresentation
bin10111000000110101000111…
…011001100101110110010000
3111021100210010102111011201222
4113000311013121211312100
5101231224341132034300
6555132110423544212
730214222150055105
oct2700650731456620
9437323112434658
10101212102221200
112a2818a2123173
12b4277002bb068
13446234cb05c89
141adc998766aac
15ba7b5bbbd785
hex5c0d47665d90

101212102221200 has 60 divisors (see below), whose sum is σ = 244505512643028. Its totient is φ = 40261167705600.

The previous prime is 101212102221199. The next prime is 101212102221221. The reversal of 101212102221200 is 2122201212101.

It can be written as a sum of positive squares in 6 ways, for example, as 34390436720896 + 66821665500304 = 5864336^2 + 8174452^2 .

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, 698906207 + ... + 699051006.

Almost surely, 2101212102221200 is an apocalyptic number.

101212102221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212102221200 is an abundant number, since it is smaller than the sum of its proper divisors (143293410421828).

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

101212102221200 is a wasteful number, since it uses less digits than its factorization.

101212102221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397957412 (or 1397957401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101212102221200 its reverse (2122201212101), we get a palindrome (103334303433301).

The spelling of 101212102221200 in words is "one hundred one trillion, two hundred twelve billion, one hundred two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1448 1810 2896 3620 4525 7240 9050 14480 18100 36200 72400 1397957213 2795914426 5591828852 6989786065 11183657704 13979572130 22367315408 27959144260 34948930325 55918288520 69897860650 111836577040 139795721300 253030255553 279591442600 506060511106 559182885200 1012121022212 1265151277765 2024242044424 2530302555530 4048484088848 5060605111060 6325756388825 10121210222120 12651512777650 20242420444240 25303025555300 50606051110600 101212102221200