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102021211111221 = 323712794711092297
BaseRepresentation
bin10111001100100110101010…
…000011000011111100110101
3111101020010120121121110202200
4113030212222003003330311
5101333003420021024341
61000551521455255113
730326534501130603
oct2714465203037465
9441203517543680
10102021211111221
112a563a52a91846
12b53848921a499
1344c0735c699ac
141b29bd276a873
15bbdc149eadb6
hex5cc9aa0c3f35

102021211111221 has 96 divisors (see below), whose sum is σ = 152903793070080. Its totient is φ = 65497854901248.

The previous prime is 102021211111213. The next prime is 102021211111427. The reversal of 102021211111221 is 122111112120201.

It is a happy number.

102021211111221 is a `hidden beast` number, since 10 + 202 + 121 + 1 + 111 + 221 = 666.

It is not a de Polignac number, because 102021211111221 - 23 = 102021211111213 is a prime.

It is a super-2 number, since 2×1020212111112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102021211111194 and 102021211111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021211111121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44414979745 + ... + 44414982041.

It is an arithmetic number, because the mean of its divisors is an integer number (1592747844480).

Almost surely, 2102021211111221 is an apocalyptic number.

It is an amenable number.

102021211111221 is a deficient number, since it is larger than the sum of its proper divisors (50882581958859).

102021211111221 is a wasteful number, since it uses less digits than its factorization.

102021211111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102021211111221 its reverse (122111112120201), we get a palindrome (224132323231422).

The spelling of 102021211111221 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 127 333 381 947 1109 1143 2297 2841 3327 4699 6891 8523 9981 14097 20673 35039 41033 42291 84989 105117 120269 123099 140843 254967 291719 315351 360807 369297 422529 764901 875157 1050223 1082421 1267587 2175259 2547373 2625471 3150669 4449953 5211191 6525777 7642119 9452007 10793603 13349859 15633573 19577331 22926357 32380809 38858251 40049577 46900719 80484583 94252801 97142427 116574753 133378321 241453749 276257893 282758403 323516371 349724259 400134963 724361247 828773679 848275209 970549113 1200404889 2412362231 2486321037 2911647339 4934997877 7237086693 10221542041 11970105727 14804993631 21711260079 30664626123 35910317181 44414980893 89257402547 91993878369 107730951543 267772207641 306370003337 803316622923 919110010011 2757330030033 11335690123469 34007070370407 102021211111221