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212122102012100 = 22527303031574303
BaseRepresentation
bin110000001110110010000110…
…100010100001100011000100
31000211001200020000012001101022
4300032302012202201203010
5210300402031103341400
62031051314241250312
762452213301316560
oct6016620642414304
91024050200161338
10212122102012100
1161652529635055
121b95a826933998
13914904a4a9767
143a54a9bb9a6a0
15197cbb1778b85
hexc0ec868a18c4

212122102012100 has 36 divisors (see below), whose sum is σ = 526062812991744. Its totient is φ = 72727577832480.

The previous prime is 212122102012087. The next prime is 212122102012129. The reversal of 212122102012100 is 1210201221212.

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, 151515786452 + ... + 151515787851.

Almost surely, 2212122102012100 is an apocalyptic number.

212122102012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122102012100 is an abundant number, since it is smaller than the sum of its proper divisors (313940710979644).

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

212122102012100 is a wasteful number, since it uses less digits than its factorization.

212122102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303031574324 (or 303031574317 counting only the distinct ones).

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

Adding to 212122102012100 its reverse (1210201221212), we get a palindrome (213332303233312).

The spelling of 212122102012100 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 303031574303 606063148606 1212126297212 1515157871515 2121221020121 3030315743030 4242442040242 6060631486060 7575789357575 8484884080484 10606105100605 15151578715150 21212210201210 30303157430300 42424420402420 53030525503025 106061051006050 212122102012100