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102120101100 = 223252113466779
BaseRepresentation
bin101111100011011010…
…1010001010011101100
3100202120220222122012200
41133012311101103230
53133120221213400
6114525140101500
710243426352163
oct1370665212354
9322526878180
10102120101100
113a344153476
121795b994890
139825b17a34
144d2a8603da
1529ca422b00
hex17c6d514ec

102120101100 has 54 divisors (see below), whose sum is σ = 320089786380. Its totient is φ = 27232026720.

The previous prime is 102120101099. The next prime is 102120101129. The reversal of 102120101100 is 1101021201.

It is a happy number.

It is a super-4 number, since 4×1021201011004 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56732490 + ... + 56734289.

Almost surely, 2102120101100 is an apocalyptic number.

102120101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120101100 is an abundant number, since it is smaller than the sum of its proper divisors (217969685280).

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

102120101100 is a wasteful number, since it uses less digits than its factorization.

102120101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113466799 (or 113466789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102120101100 its reverse (1101021201), we get a palindrome (103221122301).

The spelling of 102120101100 in words is "one hundred two billion, one hundred twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 113466779 226933558 340400337 453867116 567333895 680800674 1021201011 1134667790 1361601348 1702001685 2042402022 2269335580 2836669475 3404003370 4084804044 5106005055 5673338950 6808006740 8510008425 10212010110 11346677900 17020016850 20424020220 25530025275 34040033700 51060050550 102120101100