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102102001010121 = 3724311753919301
BaseRepresentation
bin10111001101110001111001…
…100000000100010111001001
3111101111212010000001120100110
4113031301321200010113021
5101340314344224310441
61001053002311224533
730335424524005500
oct2715617140042711
9441455100046313
10102102001010121
112a59524085a632
12b550075678149
1344c823c928ab8
141b2da983a1837
15bc0d924e8b16
hex5cdc798045c9

102102001010121 has 48 divisors (see below), whose sum is σ = 158820437415168. Its totient is φ = 58175363232000.

The previous prime is 102102001010071. The next prime is 102102001010171. The reversal of 102102001010121 is 121010100201201.

It is an interprime number because it is at equal distance from previous prime (102102001010071) and next prime (102102001010171).

It is not a de Polignac number, because 102102001010121 - 26 = 102102001010057 is a prime.

It is a super-2 number, since 2×1021020010101212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102001010097 and 102102001010106.

It is not an unprimeable number, because it can be changed into a prime (102102001010171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110605171 + ... + 111524471.

It is an arithmetic number, because the mean of its divisors is an integer number (3308759112816).

Almost surely, 2102102001010121 is an apocalyptic number.

It is an amenable number.

102102001010121 is a deficient number, since it is larger than the sum of its proper divisors (56718436405047).

102102001010121 is a wasteful number, since it uses less digits than its factorization.

102102001010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921502 (or 921495 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102102001010121 its reverse (121010100201201), we get a palindrome (223112101211322).

The spelling of 102102001010121 in words is "one hundred two trillion, one hundred two billion, one million, ten thousand, one hundred twenty-one".

Divisors: 1 3 7 21 49 147 431 1293 1753 3017 5259 9051 12271 21119 36813 63357 85897 257691 755543 919301 2266629 2757903 5288801 6435107 15866403 19305321 37021607 45045749 111064821 135137247 396218731 1188656193 1611534653 2773531117 4834603959 8320593351 11280742571 19414717819 33842227713 58244153457 78965197997 236895593991 694571435443 2083714306329 4862000048101 14586000144303 34034000336707 102102001010121