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102121102011020 = 22559263329062003
BaseRepresentation
bin10111001110000011101100…
…000000100110101010001100
3111101120200102011221221200012
4113032003230000212222030
5101341123004103323040
61001105441524052352
730340002051562661
oct2716035400465214
9441520364857605
10102121102011020
112a5a2352880294
12b5539065340b8
1344c9c94c9a7b1
141b3098b10ba68
15bc160e384865
hex5ce0ec026a8c

102121102011020 has 48 divisors (see below), whose sum is σ = 218918370021120. Its totient is φ = 40003409459136.

The previous prime is 102121102011013. The next prime is 102121102011101. The reversal of 102121102011020 is 20110201121201.

It is a junction number, because it is equal to n+sod(n) for n = 102121102010986 and 102121102011004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164220662 + ... + 164841341.

It is an arithmetic number, because the mean of its divisors is an integer number (4560799375440).

Almost surely, 2102121102011020 is an apocalyptic number.

102121102011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121102011020 is an abundant number, since it is smaller than the sum of its proper divisors (116797268010100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121102011020 is a wasteful number, since it uses less digits than its factorization.

102121102011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329062334 (or 329062332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121102011020 its reverse (20110201121201), we get a palindrome (122231303132221).

The spelling of 102121102011020 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 236 263 295 526 590 1052 1180 1315 2630 5260 15517 31034 62068 77585 155170 310340 329062003 658124006 1316248012 1645310015 3290620030 6581240060 19414658177 38829316354 77658632708 86543306789 97073290885 173086613578 194146581770 346173227156 388293163540 432716533945 865433067890 1730866135780 5106055100551 10212110201102 20424220402204 25530275502755 51060551005510 102121102011020