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10102221021 = 3291312573449
BaseRepresentation
bin10010110100010001…
…11010100011011101
3222002001010000000010
421122020322203131
5131142132033041
64350233353433
7505225314264
oct113210724335
928061100003
1010102221021
1143144931a2
121b5b268879
13c4cc2ab99
146bb9715db
153e1d50a16
hex25a23a8dd

10102221021 has 32 divisors (see below), whose sum is σ = 14099184000. Its totient is φ = 6425968640.

The previous prime is 10102220959. The next prime is 10102221061. The reversal of 10102221021 is 12012220101.

10102221021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10102221021 - 213 = 10102212829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102220988 and 10102221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102221061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2927305 + ... + 2930753.

It is an arithmetic number, because the mean of its divisors is an integer number (440599500).

Almost surely, 210102221021 is an apocalyptic number.

It is an amenable number.

10102221021 is a deficient number, since it is larger than the sum of its proper divisors (3996962979).

10102221021 is a wasteful number, since it uses less digits than its factorization.

10102221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102221021 its reverse (12012220101), we get a palindrome (22114441122).

The spelling of 10102221021 in words is "ten billion, one hundred two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 29 87 131 257 393 771 3449 3799 7453 10347 11397 22359 33667 100021 101001 300063 451819 886393 976343 1355457 2659179 2929029 13102751 25705397 39308253 77116191 116117483 348352449 3367407007 10102221021