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1020020122121 = 7111315720693137
BaseRepresentation
bin11101101011111011110…
…11111110001000001001
310121111211221211000002112
432311331323332020021
5113203000122401441
62100331335112105
7133460022661010
oct16657573761011
93544757730075
101020020122121
11363651848a70
1214582a812635
1375258b9a350
1437525289a77
151b7ee1594eb
hexed7defe209

1020020122121 has 64 divisors (see below), whose sum is σ = 1379366392320. Its totient is φ = 728423055360.

The previous prime is 1020020122073. The next prime is 1020020122123. The reversal of 1020020122121 is 1212210200201.

It is not a de Polignac number, because 1020020122121 - 226 = 1019953013257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020020122096 and 1020020122105.

It is not an unprimeable number, because it can be changed into a prime (1020020122123) 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, 325156265 + ... + 325159401.

It is an arithmetic number, because the mean of its divisors is an integer number (21552599880).

Almost surely, 21020020122121 is an apocalyptic number.

1020020122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020020122121 is a deficient number, since it is larger than the sum of its proper divisors (359346270199).

1020020122121 is a wasteful number, since it uses less digits than its factorization.

1020020122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020020122121 its reverse (1212210200201), we get a palindrome (2232230322322).

The spelling of 1020020122121 in words is "one trillion, twenty billion, twenty million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 157 1001 1099 1727 2041 2069 3137 12089 14287 14483 21959 22451 22759 26897 34507 40781 157157 159313 188279 241549 285467 295867 324833 448591 492509 2071069 2273831 3140137 3447563 3573163 4222829 5417599 6402617 6490453 25012141 29559803 37923193 44818319 45433171 46451119 70428787 71394983 84375889 325157833 493001509 499764881 590631223 928134779 1019001121 6496943453 7133007847 11209012331 13247014573 78463086317 92729102011 145717160303 1020020122121