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10121221121 = 114192195969
BaseRepresentation
bin10010110110100010…
…11001010000000001
3222010100212022020112
421123101121100001
5131212013033441
64352152521105
7505545650204
oct113321312001
928110768215
1010121221121
114324190260
121b656b0195
13c53b5114b
146c02b993b
153e38554eb
hex25b459401

10121221121 has 8 divisors (see below), whose sum is σ = 11067688800. Its totient is φ = 9179146240.

The previous prime is 10121221111. The next prime is 10121221147. The reversal of 10121221121 is 12112212101.

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

It is not a de Polignac number, because 10121221121 - 210 = 10121220097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121221096 and 10121221105.

It is not an unprimeable number, because it can be changed into a prime (10121221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1093376 + ... + 1102593.

It is an arithmetic number, because the mean of its divisors is an integer number (1383461100).

Almost surely, 210121221121 is an apocalyptic number.

10121221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121221121 is a deficient number, since it is larger than the sum of its proper divisors (946467679).

10121221121 is a wasteful number, since it uses less digits than its factorization.

10121221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196399.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121221121 its reverse (12112212101), we get a palindrome (22233433222).

The spelling of 10121221121 in words is "ten billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 419 4609 2195969 24155659 920111011 10121221121