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120501202105021 is a prime number
BaseRepresentation
bin11011011001100001011111…
…010110001011001010111101
3120210122210122221222000021011
4123121201133112023022331
5111243242430214330041
61104141253225235221
734244632056610063
oct3331413726131275
9523583587860234
10120501202105021
1135439300145a31
1211621b34932b11
1352312a362809a
1421a8409bb0033
15dde7a5a8ce81
hex6d985f58b2bd

120501202105021 has 2 divisors, whose sum is σ = 120501202105022. Its totient is φ = 120501202105020.

The previous prime is 120501202105019. The next prime is 120501202105033.

It is a happy number.

120501202105021 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116393587879396 + 4107614225625 = 10788586^2 + 2026725^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 120501202105021 - 21 = 120501202105019 is a prime.

It is a super-4 number, since 4×1205012021050214 (a number of 57 digits) contains 4444 as substring.

Together with 120501202105019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 120501202104983 and 120501202105001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120501202105091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60250601052510 + 60250601052511.

It is an arithmetic number, because the mean of its divisors is an integer number (60250601052511).

Almost surely, 2120501202105021 is an apocalyptic number.

It is an amenable number.

120501202105021 is a deficient number, since it is larger than the sum of its proper divisors (1).

120501202105021 is an equidigital number, since it uses as much as digits as its factorization.

120501202105021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 22.

It can be divided in two parts, 12050120 and 2105021, that added together give a palindrome (14155141).

The spelling of 120501202105021 in words is "one hundred twenty trillion, five hundred one billion, two hundred two million, one hundred five thousand, twenty-one".