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102002002101120 = 27351129199836881
BaseRepresentation
bin10111001100010100110001…
…000110100000001110000000
3111101011021222220110122200010
4113030110301012200032000
5101332200100014213440
61000535023423424520
730325254462212652
oct2714246106401600
9441137886418603
10102002002101120
112a556895aaa190
12b534808155140
1344bb99440bb24
141b28ccd5466d2
15bbd48d427580
hex5cc5311a0380

102002002101120 has 512 divisors, whose sum is σ = 368763684480000. Its totient is φ = 23755073126400.

The previous prime is 102002002101073. The next prime is 102002002101127. The reversal of 102002002101120 is 21101200200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102002002101096 and 102002002101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002002101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121465080 + ... + 122301960.

It is an arithmetic number, because the mean of its divisors is an integer number (720241571250).

Almost surely, 2102002002101120 is an apocalyptic number.

102002002101120 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 102002002101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184381842240000).

102002002101120 is an abundant number, since it is smaller than the sum of its proper divisors (266761682378880).

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

102002002101120 is a wasteful number, since it uses less digits than its factorization.

102002002101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837142 (or 837130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102002002101120 its reverse (21101200200201), we get a palindrome (123103202301321).

The spelling of 102002002101120 in words is "one hundred two trillion, two billion, two million, one hundred one thousand, one hundred twenty".