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102022210201221 = 337395113126357
BaseRepresentation
bin10111001100100111100101…
…100110010010011010000101
3111101020020011020120111121000
4113030213211212102122011
5101333012441302414341
61000552204545243513
730326601322221462
oct2714474546223205
9441206136514530
10102022210201221
112a564415a43962
12b538707933599
1344c0864c488cb
141b29c8931c669
15bbdc7259c8b6
hex5cc9e5992685

102022210201221 has 16 divisors (see below), whose sum is σ = 151348540196800. Its totient is φ = 67922770513104.

The previous prime is 102022210201213. The next prime is 102022210201231. The reversal of 102022210201221 is 122102012220201.

It is a happy number.

102022210201221 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 221 + 0 + 201 + 221 = 666.

It is not a de Polignac number, because 102022210201221 - 23 = 102022210201213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102022210201194 and 102022210201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022210201201) 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 15 ways as a sum of consecutive naturals, for example, 2556543226 + ... + 2556583131.

It is an arithmetic number, because the mean of its divisors is an integer number (9459283762300).

Almost surely, 2102022210201221 is an apocalyptic number.

It is an amenable number.

102022210201221 is a deficient number, since it is larger than the sum of its proper divisors (49326329995579).

102022210201221 is an equidigital number, since it uses as much as digits as its factorization.

102022210201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113127105 (or 5113127099 counting only the distinct ones).

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

Adding to 102022210201221 its reverse (122102012220201), we get a palindrome (224124222421422).

The spelling of 102022210201221 in words is "one hundred two trillion, twenty-two billion, two hundred ten million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 739 2217 6651 19953 5113126357 15339379071 46018137213 138054411639 3778600377823 11335801133469 34007403400407 102022210201221