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2221120101221 = 71926471358509
BaseRepresentation
bin100000010100100101000…
…100110001101101100101
321212100002200022211201122
4200110211010301231211
5242342323221214341
64420211332103325
7316320266232140
oct40244504615545
97770080284648
102221120101221
11786a7643569a
122ba574764b45
131315b2329358
1479707909057
153cb9a6c494b
hex20525131b65

2221120101221 has 24 divisors (see below), whose sum is σ = 2683198535040. Its totient is φ = 1800827336736.

The previous prime is 2221120101203. The next prime is 2221120101257. The reversal of 2221120101221 is 1221010211222.

It is a de Polignac number, because none of the positive numbers 2k-2221120101221 is a prime.

It is a super-3 number, since 3×22211201012213 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2221120101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221120101121) 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 23 ways as a sum of consecutive naturals, for example, 955715 + ... + 2314223.

It is an arithmetic number, because the mean of its divisors is an integer number (111799938960).

Almost surely, 22221120101221 is an apocalyptic number.

It is an amenable number.

2221120101221 is a deficient number, since it is larger than the sum of its proper divisors (462078433819).

2221120101221 is a wasteful number, since it uses less digits than its factorization.

2221120101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359201 (or 1359182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2221120101221 its reverse (1221010211222), we get a palindrome (3442130312443).

The spelling of 2221120101221 in words is "two trillion, two hundred twenty-one billion, one hundred twenty million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 7 19 133 361 647 2527 4529 12293 86051 233567 1358509 1634969 9509563 25811671 180681697 490421749 878955323 3432952243 6152687261 16700151137 116901057959 317302871603 2221120101221