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1010021202101 is a prime number
BaseRepresentation
bin11101011001010011111…
…01000111100010110101
310120120001010002020102102
432230221331013202311
5113022010411431401
62051555231351445
7132654160364462
oct16545175074265
93516033066372
101010021202101
1135a3907013aa
121438ba082585
137432449a622
1436c57328669
151b41641156b
hexeb29f478b5

1010021202101 has 2 divisors, whose sum is σ = 1010021202102. Its totient is φ = 1010021202100.

The previous prime is 1010021202067. The next prime is 1010021202119. The reversal of 1010021202101 is 1012021200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008708879025 + 1312323076 = 1004345^2 + 36226^2 .

It is an emirp because it is prime and its reverse (1012021200101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010021202101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010021202191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505010601050 + 505010601051.

It is an arithmetic number, because the mean of its divisors is an integer number (505010601051).

Almost surely, 21010021202101 is an apocalyptic number.

It is an amenable number.

1010021202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010021202101 is an equidigital number, since it uses as much as digits as its factorization.

1010021202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010021202101 its reverse (1012021200101), we get a palindrome (2022042402202).

The spelling of 1010021202101 in words is "one trillion, ten billion, twenty-one million, two hundred two thousand, one hundred one".