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102001122221020 = 225113831210552127
BaseRepresentation
bin10111001100010011111100…
…101010000001101111011100
3111101011012201120211010002021
4113030103330222001233130
5101332141244242033040
61000534400232505524
730325223616312601
oct2714237452015734
9441135646733067
10102001122221020
112a55648436a250
12b53460154b2a4
1344bb88403b309
141b28c487466a8
15bbd43b07224a
hex5cc4fca81bdc

102001122221020 has 48 divisors (see below), whose sum is σ = 234285416644608. Its totient is φ = 36994472970560.

The previous prime is 102001122220997. The next prime is 102001122221059. The reversal of 102001122221020 is 20122221100201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102001122220985 and 102001122221003.

It is a congruent number.

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, 605191804 + ... + 605360323.

It is an arithmetic number, because the mean of its divisors is an integer number (4880946180096).

Almost surely, 2102001122221020 is an apocalyptic number.

102001122221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001122221020 is an abundant number, since it is smaller than the sum of its proper divisors (132284294423588).

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

102001122221020 is a wasteful number, since it uses less digits than its factorization.

102001122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210552530 (or 1210552528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102001122221020 its reverse (20122221100201), we get a palindrome (122123343321221).

The spelling of 102001122221020 in words is "one hundred two trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 383 766 1532 1915 3830 4213 7660 8426 16852 21065 42130 84260 1210552127 2421104254 4842208508 6052760635 12105521270 13316073397 24211042540 26632146794 53264293588 66580366985 133160733970 266321467940 463641464641 927282929282 1854565858564 2318207323205 4636414646410 5100056111051 9272829292820 10200112222102 20400224444204 25500280555255 51000561110510 102001122221020