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1002200021129 is a prime number
BaseRepresentation
bin11101001010101111100…
…01101011100010001001
310112210212001011002010002
432211113301223202021
5112410001201134004
62044223200332345
7132256310423546
oct16452761534211
93483761132102
101002200021129
1135703786a37a
121422969140b5
13736790069a8
14367146cbbcd
151b10998961e
hexe957c6b889

1002200021129 has 2 divisors, whose sum is σ = 1002200021130. Its totient is φ = 1002200021128.

The previous prime is 1002200021117. The next prime is 1002200021131. The reversal of 1002200021129 is 9211200022001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988735899904 + 13464121225 = 994352^2 + 116035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002200021129 is a prime.

Together with 1002200021131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002200021129.

It is not a weakly prime, because it can be changed into another prime (1002200026129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501100010564 + 501100010565.

It is an arithmetic number, because the mean of its divisors is an integer number (501100010565).

Almost surely, 21002200021129 is an apocalyptic number.

It is an amenable number.

1002200021129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002200021129 is an equidigital number, since it uses as much as digits as its factorization.

1002200021129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1002200021129 in words is "one trillion, two billion, two hundred million, twenty-one thousand, one hundred twenty-nine".