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21212222020101 = 3277313733666827
BaseRepresentation
bin1001101001010110110101…
…11101010101101000000101
32210002212110020001120022100
410310223122331111220011
510240020112314120401
6113040432115022313
74316350431130410
oct464533275255005
983085406046270
1021212222020101
116839064368792
1224670a229a999
13bab3c4a2a2a8
14534969a78b77
1526bba2a4ab86
hex134adaf55a05

21212222020101 has 48 divisors (see below), whose sum is σ = 35755787343744. Its totient is φ = 11867960166912.

The previous prime is 21212222020069. The next prime is 21212222020111. The reversal of 21212222020101 is 10102022221212.

It is a happy number.

It is not a de Polignac number, because 21212222020101 - 25 = 21212222020069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212222020111) 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 47 ways as a sum of consecutive naturals, for example, 16203351 + ... + 17463476.

It is an arithmetic number, because the mean of its divisors is an integer number (744912236328).

Almost surely, 221212222020101 is an apocalyptic number.

21212222020101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21212222020101 is a deficient number, since it is larger than the sum of its proper divisors (14543565323643).

21212222020101 is a wasteful number, since it uses less digits than its factorization.

21212222020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33667050 (or 33667047 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21212222020101 its reverse (10102022221212), we get a palindrome (31314244241313).

The spelling of 21212222020101 in words is "twenty-one trillion, two hundred twelve billion, two hundred twenty-two million, twenty thousand, one hundred one".

Divisors: 1 3 7 9 21 63 73 137 219 411 511 657 959 1233 1533 2877 4599 8631 10001 30003 70007 90009 210021 630063 33666827 101000481 235667789 303001443 707003367 2121010101 2457678371 4612355299 7373035113 13837065897 17203748597 22119105339 32286487093 41511197691 51611245791 96859461279 154833737373 290578383837 336701936827 1010105810481 2356913557789 3030317431443 7070740673367 21212222020101