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202201010122101 = 31943132596221989
BaseRepresentation
bin101101111110011010010111…
…011000011010110101110101
3222111221020011001111010001120
4231332122113120122311311
5203000330132042401401
61554013510043014153
760406353345546144
oct5576322730326565
9874836131433046
10202201010122101
1159477a6a931a91
121a817ab120a359
1388a96201b48b3
1437d081c7b975b
151859aa4021836
hexb7e69761ad75

202201010122101 has 32 divisors (see below), whose sum is σ = 290412627648000. Its totient is φ = 124726568758848.

The previous prime is 202201010122093. The next prime is 202201010122151. The reversal of 202201010122101 is 101221010102202.

It is not a de Polignac number, because 202201010122101 - 23 = 202201010122093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201010122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29386815 + ... + 35608803.

It is an arithmetic number, because the mean of its divisors is an integer number (9075394614000).

Almost surely, 2202201010122101 is an apocalyptic number.

It is an amenable number.

202201010122101 is a deficient number, since it is larger than the sum of its proper divisors (88211617525899).

202201010122101 is a wasteful number, since it uses less digits than its factorization.

202201010122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235313.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202201010122101 its reverse (101221010102202), we get a palindrome (303422020224303).

The spelling of 202201010122101 in words is "two hundred two trillion, two hundred one billion, ten million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 19 43 57 129 817 2451 13259 39777 251921 570137 755763 1710411 6221989 10832603 18665967 32497809 118217791 267545527 354653373 802636581 5083365013 15250095039 82497352151 247492056453 1567449690869 3547386142493 4702349072607 10642158427479 67400336707367 202201010122101