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101222200002222 = 23213101331110311731
BaseRepresentation
bin10111000000111110100001…
…010001100100011010101110
3111021101202012011020121012200
4113000332201101210122232
5101231411031200032342
6555140500422242330
730215030322560655
oct2700764121443256
9437352164217180
10101222200002222
112a286104053542
12b429659b863a6
13446329bb3ac30
141add2758a019c
15ba804d44394c
hex5c0fa14646ae

101222200002222 has 192 divisors, whose sum is σ = 239481530975232. Its totient is φ = 30713268960000.

The previous prime is 101222200002221. The next prime is 101222200002223. The reversal of 101222200002222 is 222200002222101.

It is an interprime number because it is at equal distance from previous prime (101222200002221) and next prime (101222200002223).

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 = 101222200002195 and 101222200002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222200002221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8628602097 + ... + 8628613827.

It is an arithmetic number, because the mean of its divisors is an integer number (1247299640496).

Almost surely, 2101222200002222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222200002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119740765487616).

101222200002222 is an abundant number, since it is smaller than the sum of its proper divisors (138259330973010).

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

101222200002222 is a wasteful number, since it uses less digits than its factorization.

101222200002222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13284 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 101222200002222 its reverse (222200002222101), we get a palindrome (323422202224323).

It can be divided in two parts, 101 and 222200002222, that multiplied together give a palindrome (22442200224422).

The spelling of 101222200002222 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred million, two thousand, two hundred twenty-two".