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12100101111021 = 3711313049554189
BaseRepresentation
bin1011000000010100011000…
…1110100111110011101101
31120211202110211222102021210
42300011012032213303231
53041222001341023041
641422413144145033
72356126533301230
oct260050616476355
946752424872253
1012100101111021
1139456956a0130
1214350b7468179
1369a05b141721
142db91023d417
1515eb40e7e016
hexb01463a7ced

12100101111021 has 64 divisors (see below), whose sum is σ = 20770154496000. Its totient is φ = 6080994086400.

The previous prime is 12100101110971. The next prime is 12100101111029. The reversal of 12100101111021 is 12011110100121.

12100101111021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100101111021 - 217 = 12100100979949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100101110988 and 12100101111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100101111029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21556795 + ... + 22110983.

It is an arithmetic number, because the mean of its divisors is an integer number (324533664000).

Almost surely, 212100101111021 is an apocalyptic number.

12100101111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100101111021 is a deficient number, since it is larger than the sum of its proper divisors (8670053384979).

12100101111021 is a wasteful number, since it uses less digits than its factorization.

12100101111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557290.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12100101111021 its reverse (12011110100121), we get a palindrome (24111211211142).

The spelling of 12100101111021 in words is "twelve trillion, one hundred billion, one hundred one million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 1023 2387 3049 7161 9147 21343 33539 64029 94519 100617 234773 283557 554189 661633 704319 1039709 1662567 1984899 3119127 3879323 6096079 7277963 11637969 17179859 18288237 21833889 42672553 51539577 120259013 128017659 188978449 360777039 566935347 1322849143 1689722261 3968547429 5069166783 11828055827 18586944871 35484167481 52381390091 55760834613 130108614097 157144170273 366669730637 390325842291 576195291001 1100009191911 1728585873003 4033367037007 12100101111021