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102202021122120 = 23335521285163709
BaseRepresentation
bin10111001111001111000011…
…001010100001000001001000
3111101212102021120112201002000
4113033033003022201001020
5101343434214401401440
61001210543233311000
730345565233640533
oct2717170312410110
9441772246481060
10102202021122120
112a6236a7582117
12b56752a105460
1345047bc65a91a
141b34865d79a1a
15bc37983a7730
hex5cf3c32a1048

102202021122120 has 256 divisors, whose sum is σ = 341452368864000. Its totient is φ = 27191593728000.

The previous prime is 102202021122053. The next prime is 102202021122121. The reversal of 102202021122120 is 21221120202201.

It is a happy number.

102202021122120 is a `hidden beast` number, since 1 + 0 + 220 + 20 + 211 + 2 + 212 + 0 = 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 = 102202021122093 and 102202021122102.

It is not an unprimeable number, because it can be changed into a prime (102202021122121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604168826 + ... + 1604232534.

It is an arithmetic number, because the mean of its divisors is an integer number (1333798315875).

Almost surely, 2102202021122120 is an apocalyptic number.

102202021122120 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 102202021122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726184432000).

102202021122120 is an abundant number, since it is smaller than the sum of its proper divisors (239250347741880).

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

102202021122120 is a wasteful number, since it uses less digits than its factorization.

102202021122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67101 (or 67091 counting only the distinct ones).

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

Adding to 102202021122120 its reverse (21221120202201), we get a palindrome (123423141324321).

The spelling of 102202021122120 in words is "one hundred two trillion, two hundred two billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".