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1111012121021 = 1119233676521
BaseRepresentation
bin10000001010101101011…
…110111001100110111101
310221012201100022110212212
4100022231132321212331
5121200323100333041
62210220353310205
7143160626132435
oct20125536714675
93835640273785
101111012121021
113991a5418560
1215b3a3865365
13809ca387a0a
143bab7c112c5
151dd776368eb
hex102ad7b99bd

1111012121021 has 64 divisors (see below), whose sum is σ = 1353904588800. Its totient is φ = 901451548800.

The previous prime is 1111012121003. The next prime is 1111012121027. The reversal of 1111012121021 is 1201212101111.

It is not a de Polignac number, because 1111012121021 - 26 = 1111012120957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111012120987 and 1111012121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111012121027) 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 63 ways as a sum of consecutive naturals, for example, 170371241 + ... + 170377761.

It is an arithmetic number, because the mean of its divisors is an integer number (21154759200).

Almost surely, 21111012121021 is an apocalyptic number.

1111012121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111012121021 is a deficient number, since it is larger than the sum of its proper divisors (242892467779).

1111012121021 is an equidigital number, since it uses as much as digits as its factorization.

1111012121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6641 counting only the distinct ones).

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

Adding to 1111012121021 its reverse (1201212101111), we get a palindrome (2312224222132).

The spelling of 1111012121021 in words is "one trillion, one hundred eleven billion, twelve million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 11 19 23 67 209 253 437 529 737 1273 1541 4807 5819 6521 10051 12167 14003 16951 29279 35443 71731 110561 123899 133837 149983 231173 322069 389873 436907 673417 815189 1362889 1649813 2542903 2849677 3449609 4805977 7407587 8301233 8967079 10048861 15488591 31346447 37945699 65542571 79341007 91313563 110537471 170374501 190928359 231123803 720968281 872751077 1507479133 2100211949 2542361833 4391352257 5315847469 16582270463 48304874827 58474322159 101001101911 1111012121021