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101210211221220 = 22325231011392816197
BaseRepresentation
bin10111000000110011010110…
…101011111111111011100100
3111021100121020122020102102200
4113000303112223333323210
5101231212003033034340
6555131155033134500
730214124245611453
oct2700632653777344
9437317218212380
10101210211221220
112a281011764972
12b427272b5a430
13446210b103a8a
141adc859562b9a
15ba7a9ab8c330
hex5c0cd6affee4

101210211221220 has 576 divisors, whose sum is σ = 327064021240320. Its totient is φ = 25282059264000.

The previous prime is 101210211221143. The next prime is 101210211221221. The reversal of 101210211221220 is 22122112012101.

101210211221220 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 211 + 221 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101210211221193 and 101210211221202.

It is not an unprimeable number, because it can be changed into a prime (101210211221221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16332127162 + ... + 16332133358.

It is an arithmetic number, because the mean of its divisors is an integer number (567819481320).

Almost surely, 2101210211221220 is an apocalyptic number.

101210211221220 is a gapful number since it is divisible by the number (10) 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 101210211221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163532010620160).

101210211221220 is an abundant number, since it is smaller than the sum of its proper divisors (225853810019100).

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

101210211221220 is a wasteful number, since it uses less digits than its factorization.

101210211221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6751 counting only the distinct ones).

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

Adding to 101210211221220 its reverse (22122112012101), we get a palindrome (123332323233321).

The spelling of 101210211221220 in words is "one hundred one trillion, two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".