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102000021201 = 3413106191297
BaseRepresentation
bin101111011111110101…
…1001100111011010001
3100202021120000221120000
41132333223030323101
53132344001134301
6114505210240213
710240440606051
oct1367753147321
9322246027500
10102000021201
113a292397691
1217927726069
139806c93640
144d18923561
1529beb03786
hex17bfacced1

102000021201 has 40 divisors (see below), whose sum is σ = 164247658344. Its totient is φ = 62709396480.

The previous prime is 102000021191. The next prime is 102000021239. The reversal of 102000021201 is 102120000201.

It can be written as a sum of positive squares in 4 ways, for example, as 7613435025 + 94386586176 = 87255^2 + 307224^2 .

It is not a de Polignac number, because 102000021201 - 211 = 102000019153 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102000021001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1071585 + ... + 1162881.

Almost surely, 2102000021201 is an apocalyptic number.

It is an amenable number.

102000021201 is a deficient number, since it is larger than the sum of its proper divisors (62247637143).

102000021201 is a wasteful number, since it uses less digits than its factorization.

102000021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92383 (or 92374 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102000021201 its reverse (102120000201), we get a palindrome (204120021402).

The spelling of 102000021201 in words is "one hundred two billion, twenty-one thousand, two hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1061 3183 9549 13793 28647 41379 85941 91297 124137 273891 372411 821673 1117233 1186861 2465019 3560583 7395057 10681749 32045247 96135741 96866117 290598351 871795053 1259259521 2615385159 3777778563 7846155477 11333335689 34000007067 102000021201