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102212221000122 = 2325678456722229
BaseRepresentation
bin10111001111011000100011…
…000111111101100110111010
3111101220101121102102012021100
4113033120203013331212322
5101344121112034000442
61001215351320152230
730346406056321302
oct2717304307754672
9441811542365240
10102212221000122
112a627a610a6462
12b5694b6008676
13450575688b9ac
141b3515288c602
15bc3b93a9884c
hex5cf6231fd9ba

102212221000122 has 12 divisors (see below), whose sum is σ = 221459812166970. Its totient is φ = 34070740333368.

The previous prime is 102212221000117. The next prime is 102212221000133. The reversal of 102212221000122 is 221000122212201.

It is a happy number.

102212221000122 is a `hidden beast` number, since 1 + 0 + 221 + 222 + 100 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80069728452561 + 22142492547561 = 8948169^2 + 4705581^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5678456722229 = 102212221000122 / (1 + 0 + 2 + 2 + 1 + 2 + 2 + 2 + 1 + 0 + 0 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 102212221000095 and 102212221000104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2839228361097 + ... + 2839228361132.

Almost surely, 2102212221000122 is an apocalyptic number.

102212221000122 is an abundant number, since it is smaller than the sum of its proper divisors (119247591166848).

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

102212221000122 is a wasteful number, since it uses less digits than its factorization.

102212221000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678456722237 (or 5678456722234 counting only the distinct ones).

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

Adding to 102212221000122 its reverse (221000122212201), we get a palindrome (323212343212323).

The spelling of 102212221000122 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 5678456722229 11356913444458 17035370166687 34070740333374 51106110500061 102212221000122