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202102121121201 = 327171631157694037
BaseRepresentation
bin101101111100111110010001…
…001000110100010110110001
3222111120202220022101101001200
4231330332101020310112301
5202442220121001334301
61553500233244321413
760366252652114110
oct5574762110642661
9874522808341050
10202102121121201
115943a034643a64
121a8008b3543269
1388a01c0907392
1437c9b1b11bc77
1518572175e1c86
hexb7cf912345b1

202102121121201 has 48 divisors (see below), whose sum is σ = 355421331218304. Its totient is φ = 108026745887232.

The previous prime is 202102121121193. The next prime is 202102121121209. The reversal of 202102121121201 is 102121121201202.

202102121121201 is a `hidden beast` number, since 2 + 0 + 210 + 21 + 211 + 21 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (202102121121193) and next prime (202102121121209).

It is not a de Polignac number, because 202102121121201 - 23 = 202102121121193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202102121121209) 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, 578672446 + ... + 579021591.

It is an arithmetic number, because the mean of its divisors is an integer number (7404611067048).

Almost surely, 2202102121121201 is an apocalyptic number.

202102121121201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202102121121201 is a deficient number, since it is larger than the sum of its proper divisors (153319210097103).

202102121121201 is a wasteful number, since it uses less digits than its factorization.

202102121121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157694230 (or 1157694227 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202102121121201 its reverse (102121121201202), we get a palindrome (304223242322403).

It can be divided in two parts, 202 and 102121121201, that multiplied together give a palindrome (20628466482602).

The spelling of 202102121121201 in words is "two hundred two trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 163 357 489 1071 1141 1467 2771 3423 8313 10269 19397 24939 58191 174573 1157694037 3473082111 8103858259 10419246333 19680798629 24311574777 59042395887 72934724331 137765590403 177127187661 188704128031 413296771209 566112384093 1239890313627 1320928896217 1698337152279 3207970176527 3962786688651 9623910529581 11888360065953 22455791235689 28871731588743 67367373707067 202102121121201