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22121010201121 = 1313160721399401
BaseRepresentation
bin1010000011110011100101…
…11101001000001000100001
32220022202012020100111112121
411001321302331020020201
510344412312102413441
6115014130215424241
74442122153201066
oct501716275101041
986282166314477
1022121010201121
117059516623aa7
122593249685081
13c460051018c0
1456693c298c6d
15285641862dd1
hex141e72f48221

22121010201121 has 16 divisors (see below), whose sum is σ = 24044025696768. Its totient is φ = 20230136784000.

The previous prime is 22121010201013. The next prime is 22121010201131. The reversal of 22121010201121 is 12110201012122.

It is not a de Polignac number, because 22121010201121 - 233 = 22112420266529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22121010201095 and 22121010201104.

It is not an unprimeable number, because it can be changed into a prime (22121010201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9665980 + ... + 11733421.

It is an arithmetic number, because the mean of its divisors is an integer number (1502751606048).

Almost surely, 222121010201121 is an apocalyptic number.

It is an amenable number.

22121010201121 is a deficient number, since it is larger than the sum of its proper divisors (1923015495647).

22121010201121 is a wasteful number, since it uses less digits than its factorization.

22121010201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21400152.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22121010201121 its reverse (12110201012122), we get a palindrome (34231211213243).

The spelling of 22121010201121 in words is "twenty-two trillion, one hundred twenty-one billion, ten million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 13 131 607 1703 7891 79517 1033721 21399401 278192213 2803321531 12989436407 36443179903 168862673291 1701616169317 22121010201121