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102121012120 = 23517831809373
BaseRepresentation
bin101111100011011100…
…0101111101110011000
3100202120222200220220011
41133012320233232120
53133120434341440
6114525211411304
710243440165211
oct1370670575630
9322528626804
10102121012120
113a344715986
1217960153b34
1398260765ba
144d2aa1a408
1529ca5529ea
hex17c6e2fb98

102121012120 has 64 divisors (see below), whose sum is σ = 246219613920. Its totient is φ = 37982337024.

The previous prime is 102121012067. The next prime is 102121012121. The reversal of 102121012120 is 21210121201.

It is a super-2 number, since 2×1021210121202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102121012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121012121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848247 + ... + 961126.

Almost surely, 2102121012120 is an apocalyptic number.

102121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121012120 is an abundant number, since it is smaller than the sum of its proper divisors (144098601800).

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

102121012120 is a wasteful number, since it uses less digits than its factorization.

102121012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809484 (or 1809480 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102121012120 its reverse (21210121201), we get a palindrome (123331133321).

The spelling of 102121012120 in words is "one hundred two billion, one hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 83 85 136 166 170 332 340 415 664 680 830 1411 1660 2822 3320 5644 7055 11288 14110 28220 56440 1809373 3618746 7237492 9046865 14474984 18093730 30759341 36187460 61518682 72374920 123037364 150177959 153796705 246074728 300355918 307593410 600711836 615186820 750889795 1201423672 1230373640 1501779590 2553025303 3003559180 5106050606 6007118360 10212101212 12765126515 20424202424 25530253030 51060506060 102121012120