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102001110102020 = 225127263743205507
BaseRepresentation
bin10111001100010011111011…
…111011110011000000000100
3111101011012200202000101221102
4113030103323323303000010
5101332141233141231040
61000534355121035232
730325223411306333
oct2714237373630004
9441135622011842
10102001110102020
112a556478542048
12b5345b9485b18
1344bb8816870cc
141b28c46cadd1a
15bbd439e7b515
hex5cc4fbef3004

102001110102020 has 96 divisors (see below), whose sum is σ = 217002558947328. Its totient is φ = 40270797931392.

The previous prime is 102001110102019. The next prime is 102001110102029. The reversal of 102001110102020 is 20201011100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001110101992 and 102001110102010.

It is not an unprimeable number, because it can be changed into a prime (102001110102029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496236107 + ... + 496441613.

It is an arithmetic number, because the mean of its divisors is an integer number (2260443322368).

Almost surely, 2102001110102020 is an apocalyptic number.

102001110102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001110102020 is an abundant number, since it is smaller than the sum of its proper divisors (115001448845308).

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

102001110102020 is a wasteful number, since it uses less digits than its factorization.

102001110102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206649 (or 206647 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001110102020 its reverse (20201011100201), we get a palindrome (122202121202221).

The spelling of 102001110102020 in words is "one hundred two trillion, one billion, one hundred ten million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 263 508 526 635 743 1052 1270 1315 1486 2540 2630 2972 3715 5260 7430 14860 33401 66802 94361 133604 167005 188722 195409 205507 334010 377444 390818 411014 471805 668020 781636 822028 943610 977045 1027535 1887220 1954090 2055070 3908180 4110140 24816943 26099389 49633886 52198778 54048341 99267772 104397556 108096682 124084715 130496945 152691701 216193364 248169430 260993890 270241705 305383402 496338860 521987780 540483410 610766804 763458505 1080966820 1526917010 3053834020 6864139307 13728278614 19391846027 27456557228 34320696535 38783692054 40157917363 68641393070 77567384108 80315834726 96959230135 137282786140 160631669452 193918460270 200789586815 387836920540 401579173630 803158347260 5100055505101 10200111010202 20400222020404 25500277525505 51000555051010 102001110102020