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101201222220012 = 223321291152738183
BaseRepresentation
bin10111000000101010111110…
…111001101011100011101100
3111021022202001011211211221000
4113000222332321223203230
5101231040100342020022
6555123111043440300
730213355425430035
oct2700527671534354
9437282034754830
10101201222220012
112a2782196a6252
12b425584686090
134461307a04b55
141adc2457b1a8c
15ba77219346ac
hex5c0abee6b8ec

101201222220012 has 96 divisors (see below), whose sum is σ = 262526424652800. Its totient is φ = 33714087757056.

The previous prime is 101201222219989. The next prime is 101201222220047. The reversal of 101201222220012 is 210022222102101.

It is a happy number.

101201222220012 is a `hidden beast` number, since 10 + 1 + 201 + 222 + 220 + 0 + 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 31 ways as a sum of consecutive naturals, for example, 2650407073 + ... + 2650445255.

It is an arithmetic number, because the mean of its divisors is an integer number (2734650256800).

Almost surely, 2101201222220012 is an apocalyptic number.

101201222220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201222220012 is an abundant number, since it is smaller than the sum of its proper divisors (161325202432788).

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

101201222220012 is a wasteful number, since it uses less digits than its factorization.

101201222220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51852 (or 51844 counting only the distinct ones).

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

Adding to 101201222220012 its reverse (210022222102101), we get a palindrome (311223444322113).

The spelling of 101201222220012 in words is "one hundred one trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2129 4258 6387 8516 11527 12774 19161 23054 25548 34581 38183 38322 46108 57483 69162 76366 76644 103743 114549 114966 138324 152732 207486 229098 229932 311229 343647 414972 458196 622458 687294 1030941 1244916 1374588 2061882 4123764 24540983 49081966 73622949 81291607 98163932 147245898 162583214 220868847 243874821 294491796 325166428 440135441 441737694 487749642 662606541 731624463 880270882 883475388 975499284 1320406323 1325213082 1463248926 1760541764 2194873389 2640812646 2650426164 2926497852 3961218969 4389746778 5281625292 7922437938 8779493556 11883656907 15844875876 23767313814 47534627628 937048353889 1874096707778 2811145061667 3748193415556 5622290123334 8433435185001 11244580246668 16866870370002 25300305555003 33733740740004 50600611110006 101201222220012