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10122102221 = 711131455873
BaseRepresentation
bin10010110110101001…
…10000010111001101
3222010102112001212212
421123110300113031
5131212224232341
64352223440205
7505556310050
oct113324602715
928112461785
1010122102221
114324732240
121b65a56065
13c5409c1ca
146c0468a97
153e397b5eb
hex25b5305cd

10122102221 has 8 divisors (see below), whose sum is σ = 12619763904. Its totient is φ = 7887352320.

The previous prime is 10122102217. The next prime is 10122102229. The reversal of 10122102221 is 12220122101.

10122102221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122102221 - 22 = 10122102217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122102196 and 10122102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122102229) 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 7 ways as a sum of consecutive naturals, for example, 65727860 + ... + 65728013.

It is an arithmetic number, because the mean of its divisors is an integer number (1577470488).

Almost surely, 210122102221 is an apocalyptic number.

10122102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122102221 is a deficient number, since it is larger than the sum of its proper divisors (2497661683).

10122102221 is a wasteful number, since it uses less digits than its factorization.

10122102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131455891.

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

Adding to 10122102221 its reverse (12220122101), we get a palindrome (22342224322).

The spelling of 10122102221 in words is "ten billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 7 11 77 131455873 920191111 1446014603 10122102221