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102021221202201 = 3277997211325129
BaseRepresentation
bin10111001100100110101010…
…101001100011100100011001
3111101020010121022121010222200
4113030212222221203210121
5101333003430111432301
61000551522455440413
730326534652656430
oct2714465251434431
9441203538533880
10102021221202201
112a563a587542a4
12b538490686109
1344c0738090aa2
141b29bd3c36117
15bbdc15840c86
hex5cc9aaa63919

102021221202201 has 48 divisors (see below), whose sum is σ = 172306057996800. Its totient is φ = 56966492104704.

The previous prime is 102021221202191. The next prime is 102021221202233. The reversal of 102021221202201 is 102202122120201.

It is a happy number.

102021221202201 is a `hidden beast` number, since 1 + 0 + 20 + 21 + 221 + 202 + 201 = 666.

It is not a de Polignac number, because 102021221202201 - 26 = 102021221202137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102021221202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105179796 + ... + 106145333.

It is an arithmetic number, because the mean of its divisors is an integer number (3589709541600).

Almost surely, 2102021221202201 is an apocalyptic number.

It is an amenable number.

102021221202201 is a deficient number, since it is larger than the sum of its proper divisors (70284836794599).

102021221202201 is a wasteful number, since it uses less digits than its factorization.

102021221202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211325318 (or 211325315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021221202201 its reverse (102202122120201), we get a palindrome (204223343322402).

The spelling of 102021221202201 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-one million, two hundred two thousand, two hundred one".

Divisors: 1 3 7 9 21 63 79 97 237 291 553 679 711 873 1659 2037 4977 6111 7663 22989 53641 68967 160923 482769 211325129 633975387 1479275903 1901926161 4437827709 13313483127 16694685191 20498537513 50084055573 61495612539 116862796337 143489762591 150252166719 184486837617 350588389011 430469287773 1051765167033 1291407863319 1619384463527 4858153390581 11335691244689 14574460171743 34007073734067 102021221202201