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10102012221 = 3717298391163
BaseRepresentation
bin10010110100010000…
…00111100100111101
3222002000201101120210
421122020013210331
5131142103342341
64350225103033
7505223454450
oct113210074475
928060641523
1010102012221
114314360334
121b5b187a79
13c4cb86b32
146bb919497
153e1d0dc16
hex25a20793d

10102012221 has 64 divisors (see below), whose sum is σ = 16895692800. Its totient is φ = 5234912256.

The previous prime is 10102012211. The next prime is 10102012241. The reversal of 10102012221 is 12221020101.

It is not a de Polignac number, because 10102012221 - 26 = 10102012157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102012197 and 10102012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102012201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8685586 + ... + 8686748.

It is an arithmetic number, because the mean of its divisors is an integer number (263995200).

Almost surely, 210102012221 is an apocalyptic number.

It is an amenable number.

10102012221 is a deficient number, since it is larger than the sum of its proper divisors (6793680579).

10102012221 is a wasteful number, since it uses less digits than its factorization.

10102012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102012221 its reverse (12221020101), we get a palindrome (22323032322).

The spelling of 10102012221 in words is "ten billion, one hundred two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 17 21 29 51 87 119 203 357 493 609 839 1163 1479 2517 3451 3489 5873 8141 10353 14263 17619 19771 24331 24423 33727 42789 59313 72993 99841 101181 138397 170317 236089 299523 413627 415191 510951 573359 708267 975757 1240881 1720077 2895389 2927271 4013513 6830299 8686167 12040539 16587869 20490897 28296953 49763607 84890859 116115083 198078671 348345249 481048201 594236013 1443144603 3367337407 10102012221