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101201221131012 = 223237416271825183
BaseRepresentation
bin10111000000101010111110…
…110101100001101100000100
3111021022202001002210112002200
4113000222332311201230010
5101231040100102143022
6555123111004234500
730213355413243102
oct2700527665415404
9437282032715080
10101201221131012
112a278219022052
12b42558423ba30
134461307713282
141adc2455aac72
15ba77217bbbac
hex5c0abed61b04

101201221131012 has 72 divisors (see below), whose sum is σ = 262734550530816. Its totient is φ = 32821211202624.

The previous prime is 101201221131001. The next prime is 101201221131029. The reversal of 101201221131012 is 210131122102101.

It is a happy number.

101201221131012 is a `hidden beast` number, since 1 + 0 + 120 + 1 + 221 + 1 + 310 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54534573 + ... + 56359755.

Almost surely, 2101201221131012 is an apocalyptic number.

101201221131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201221131012 is an abundant number, since it is smaller than the sum of its proper divisors (161533329399804).

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

101201221131012 is a wasteful number, since it uses less digits than its factorization.

101201221131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866857 (or 1866852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101201221131012 its reverse (210131122102101), we get a palindrome (311332343233113).

The spelling of 101201221131012 in words is "one hundred one trillion, two hundred one billion, two hundred twenty-one million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 41627 83254 124881 166508 249762 374643 499524 749286 1498572 1540199 1825183 3080398 3650366 4620597 5475549 6160796 7300732 9241194 10951098 13861791 16426647 18482388 21902196 27723582 32853294 55447164 65706588 67531771 135063542 202595313 270127084 405190626 607785939 810381252 1215571878 2431143756 75976892741 151953785482 227930678223 303907570964 455861356446 683792034669 911722712892 1367584069338 2735168138676 2811145031417 5622290062834 8433435094251 11244580125668 16866870188502 25300305282753 33733740377004 50600610565506 101201221131012