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102222102012100 = 22527350089417127
BaseRepresentation
bin10111001111100001110000…
…000101000010000011000100
3111101221100010001021121111221
4113033201300011002003010
5101344301331103341400
61001224104012410124
730350205660455350
oct2717416005020304
9441840101247457
10102222102012100
112a63117172aa64
12b56b3b3176944
13450666ca17a45
141b3580ccba460
15bc40712a0c1a
hex5cf8701420c4

102222102012100 has 72 divisors (see below), whose sum is σ = 253512144878720. Its totient is φ = 35047393701120.

The previous prime is 102222102012083. The next prime is 102222102012133. The reversal of 102222102012100 is 1210201222201.

It is a happy 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, 244853737 + ... + 245270863.

Almost surely, 2102222102012100 is an apocalyptic number.

102222102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222102012100 is an abundant number, since it is smaller than the sum of its proper divisors (151290042866620).

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

102222102012100 is a wasteful number, since it uses less digits than its factorization.

102222102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767237 (or 767230 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102222102012100 its reverse (1210201222201), we get a palindrome (103432303234301).

The spelling of 102222102012100 in words is "one hundred two trillion, two 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 350089 417127 700178 834254 1400356 1668508 1750445 2085635 2450623 2919889 3500890 4171270 4901246 5839778 7001780 8342540 8752225 9802492 10428175 11679556 12253115 14599445 17504450 20856350 24506230 29198890 35008900 41712700 49012460 58397780 61265575 72997225 122531150 145994450 245062300 291988900 146031574303 292063148606 584126297212 730157871515 1022221020121 1460315743030 2044442040242 2920631486060 3650789357575 4088884080484 5111105100605 7301578715150 10222210201210 14603157430300 20444420402420 25555525503025 51111051006050 102222102012100