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1111120101221 = 132921011006237
BaseRepresentation
bin10000001010110011111…
…010110011111101100101
310221012222212111102212112
4100022303322303331211
5121201033221214341
62210235211530405
7143163410012504
oct20126372637545
93835885442775
101111120101221
1139925036a699
1215b413a59a05
1380a16863920
143bac82bc83b
151dd81d65aeb
hex102b3eb3f65

1111120101221 has 24 divisors (see below), whose sum is σ = 1251546749544. Its totient is φ = 980476358400.

The previous prime is 1111120101211. The next prime is 1111120101253. The reversal of 1111120101221 is 1221010211111.

It can be written as a sum of positive squares in 12 ways, for example, as 206015224321 + 905104876900 = 453889^2 + 951370^2 .

It is a de Polignac number, because none of the positive numbers 2k-1111120101221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111120101196 and 1111120101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111120101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601115 + ... + 1607351.

It is an arithmetic number, because the mean of its divisors is an integer number (52147781231).

Almost surely, 21111120101221 is an apocalyptic number.

It is an amenable number.

1111120101221 is a deficient number, since it is larger than the sum of its proper divisors (140426648323).

1111120101221 is a wasteful number, since it uses less digits than its factorization.

1111120101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006409 (or 1006380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1111120101221 its reverse (1221010211111), we get a palindrome (2332130312332).

The spelling of 1111120101221 in words is "one trillion, one hundred eleven billion, one hundred twenty million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 13 29 101 377 841 1313 2929 10933 38077 84941 1006237 1104233 13081081 29180873 101629937 379351349 846245317 1321189181 2947268173 11001189121 38314486249 85470777017 1111120101221