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101020202122212 = 2232101113539244703
BaseRepresentation
bin10110111110000010011001…
…010000110011101111100100
3111020200102210120121002120100
4112332002121100303233210
5101220103333220402322
6554504012402504100
730164316532121622
oct2676023120635744
9436612716532510
10101020202122212
112a20847756353a
12b3b6485365030
13444a219937649
141ad3592316512
15ba2b798c9dac
hex5be099433be4

101020202122212 has 72 divisors (see below), whose sum is σ = 257888230629120. Its totient is φ = 33339570811200.

The previous prime is 101020202122199. The next prime is 101020202122219. The reversal of 101020202122212 is 212221202020101.

It is a happy number.

101020202122212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101020202122219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412705453 + ... + 412950155.

It is an arithmetic number, because the mean of its divisors is an integer number (3581780980960).

Almost surely, 2101020202122212 is an apocalyptic number.

101020202122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020202122212 is an abundant number, since it is smaller than the sum of its proper divisors (156868028506908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101020202122212 is a wasteful number, since it uses less digits than its factorization.

101020202122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358353 (or 358348 counting only the distinct ones).

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

Adding to 101020202122212 its reverse (212221202020101), we get a palindrome (313241404142313).

The spelling of 101020202122212 in words is "one hundred one trillion, twenty billion, two hundred two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 113539 227078 244703 340617 454156 489406 681234 734109 978812 1021851 1362468 1468218 2043702 2202327 2936436 4087404 4404654 8809308 11467439 22934878 24715003 34402317 45869756 49430006 68804634 74145009 98860012 103206951 137609268 148290018 206413902 222435027 296580036 412827804 444870054 889740108 27783333917 55566667834 83350001751 111133335668 166700003502 250050005253 333400007004 500100010506 1000200021012 2806116725617 5612233451234 8418350176851 11224466902468 16836700353702 25255050530553 33673400707404 50510101061106 101020202122212