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101101220222112 = 25331116433647341
BaseRepresentation
bin10110111111001101110110…
…010100010101010010100000
3111020222011220212110000002000
4112333031312110111102200
5101222420244334101422
6555005132005524000
730203215325450535
oct2677156624252240
9436864825400060
10101101220222112
112a2398721260a0
12b40a116113600
134454a5b975c26
141ad747a390d8c
15ba4d1c452cac
hex5bf3765154a0

101101220222112 has 192 divisors, whose sum is σ = 321705773262720. Its totient is φ = 30634821734400.

The previous prime is 101101220222111. The next prime is 101101220222137. The reversal of 101101220222112 is 211222022101101.

101101220222112 is a `hidden beast` number, since 1 + 0 + 110 + 1 + 220 + 222 + 112 = 666.

It is a super-2 number, since 2×1011012202221122 (a number of 29 digits) contains 22 as substring.

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 (101101220222111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155855562 + ... + 156502902.

It is an arithmetic number, because the mean of its divisors is an integer number (1675550902410).

Almost surely, 2101101220222112 is an apocalyptic number.

101101220222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101220222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160852886631360).

101101220222112 is an abundant number, since it is smaller than the sum of its proper divisors (220604553040608).

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

101101220222112 is a wasteful number, since it uses less digits than its factorization.

101101220222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663804 (or 663790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101101220222112 its reverse (211222022101101), we get a palindrome (312323242323213).

The spelling of 101101220222112 in words is "one hundred one trillion, one hundred one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twelve".