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1020102221093 is a prime number
BaseRepresentation
bin11101101100000101101…
…01001001110100100101
310121112001200022001201012
432312002311021310211
5113203132132033333
62100343430512005
7133462040545424
oct16660265116445
93545050261635
101020102221093
1136369412315a
12145852205605
137526cbb3c17
143753213b2bb
151b806474e48
hexed82d49d25

1020102221093 has 2 divisors, whose sum is σ = 1020102221094. Its totient is φ = 1020102221092.

The previous prime is 1020102221041. The next prime is 1020102221123. The reversal of 1020102221093 is 3901222010201.

It is a happy number.

1020102221093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 784370608609 + 235731612484 = 885647^2 + 485522^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020102221093 - 210 = 1020102220069 is a prime.

It is a super-2 number, since 2×10201022210932 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020102221393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510051110546 + 510051110547.

It is an arithmetic number, because the mean of its divisors is an integer number (510051110547).

Almost surely, 21020102221093 is an apocalyptic number.

It is an amenable number.

1020102221093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020102221093 is an equidigital number, since it uses as much as digits as its factorization.

1020102221093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1020102221093 its reverse (3901222010201), we get a palindrome (4921324231294).

The spelling of 1020102221093 in words is "one trillion, twenty billion, one hundred two million, two hundred twenty-one thousand, ninety-three".